Monday, 28 September 2015
GREATEST COMMON FACTOR CALCULATOR CODE
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READ MORE:
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H.C.F. by Long Division Method
To find the H.C.F. of the given number we will follow the following steps:
To find the H.C.F. of the given number we will follow the following steps:
- We divide the bigger number by smaller one.
- Divide smaller number in step 1 with remainder obtained in step 1.
- Divide divisor of second step with remainder obtained in step 2.
- We will continue this process till we get remainder zero and divisor obtained in end is the required H.C.F.
Let’s take few examples for this:
Example 1: Find the H.C.F. of 248 and 492?
To find the solution we will follow the following method i.e. we divide bigger number 492 by smaller one i.e. 248
So the divisor in the end was 4 so the H.C.F of the given numbers is 4
Example 2: Find the H.C.F. of 420 and 396?
To find the solution we will follow the following method i.e. we divide bigger number 420 by smaller one i.e. 396
So the divisor in the end was 12 so the H.C.F of the given numbers is 12
Some points to remember
– If H is the HCF of two numbers A and B, then H is also a factor of AX and BY, where X and Y are integers. In other words, H is also a factor of multiples of these numbers.
– If HCF (A,B) is H, then H is also the HCF of (A) and (A+B)
– If HCF (A,B) is H, then H is also the HCF of (A) and (A-B)
– If HCF (A,B) is H, then H is also the HCF of (A+B) and (A-B)
– If HCF=LCM for two numbers, then the numbers must be equal to each other.
– HCF of two or more fractions is given by:
(HCF of numerators of all the fractions) / (LCM of denominator of all the fractions)
Example 1: Find the H.C.F. of 248 and 492?
To find the solution we will follow the following method i.e. we divide bigger number 492 by smaller one i.e. 248
So the divisor in the end was 4 so the H.C.F of the given numbers is 4
Example 2: Find the H.C.F. of 420 and 396?
To find the solution we will follow the following method i.e. we divide bigger number 420 by smaller one i.e. 396
So the divisor in the end was 12 so the H.C.F of the given numbers is 12
Some points to remember
– If H is the HCF of two numbers A and B, then H is also a factor of AX and BY, where X and Y are integers. In other words, H is also a factor of multiples of these numbers.
– If HCF (A,B) is H, then H is also the HCF of (A) and (A+B)
– If HCF (A,B) is H, then H is also the HCF of (A) and (A-B)
– If HCF (A,B) is H, then H is also the HCF of (A+B) and (A-B)
– If HCF=LCM for two numbers, then the numbers must be equal to each other.
– HCF of two or more fractions is given by:
(HCF of numerators of all the fractions) / (LCM of denominator of all the fractions)
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COPY AND PASTE BELOW CODE IN POST HTML SECTION
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<html>
<head>
<style type="text/css">
.CalcTable {
padding: 4px 6px;
border: solid #ddd 1px;
border-collapse: collapse
}
.CalcTitleCell {
background-color: transparent;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 130%;
font-weight: bold;
text-align: center;
height: 30px
}
.CalcInstructCell {
padding: 5px;
border-bottom: solid #ddd 1px
}
.CalcRowTitleCell {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: left;
border: solid #ddd 1px
}
.CalcColCell {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: center;
border: solid #ddd 1px
}
.CalcColCellLeft {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: left;
padding-left: 5px;
border: solid #ddd 1px
}
.CalcColCellRight {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: right;
border: solid #ddd 1px
}
.CalcRowOdd {
background-color: #eee
}
.CalcRowEven {
background-color: #fff
}
.CalcInDescCell {
padding-left: 5px;
padding-right: 5px
}
.CalcOutDescCell {
text-align: left
}
.CalcInFldCell {
text-align: right;
padding-right: 5px;
font-size: 8pt
}
.CalcOutFldCell {
text-align: right;
padding-right: 5px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-size: 8pt
}
.CalcInFld {
font-size: 8pt
}
.CalcInFldFix {
font-size: 8pt
}
.CalcSelectFix {
font-size: 8pt
}
.CalcOutFldOddFix {
border: medium none;
background-color: #eee;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldEvenFix {
border: medium none;
background-color: #fff;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldOdd {
border: medium none;
background-color: #eee;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldEven {
border: medium none;
background-color: #fff;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldBoldOdd {
border: medium none;
background-color: #eee;
font-weight: bold;
text-align: right;
font-size: 8pt
}
.CalcOutFldBoldEven {
border: medium none;
background-color: #fff;
font-weight: bold;
text-align: right;
font-size: 8pt
}
.CalcButtonCell {
text-align: center;
border: solid #ddd 1px
}
.CalcButton {}.CalcSummaryCell {
padding-left: 5px;
padding-right: 5px;
background-color: #fff;
border: solid #ddd 1px
}
.ChartTable {
border-collapse: collapse
}
.ChartBody {}.ChartColHead1 {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.ChartColHead1Small {
background-color: #1d487e;
color: #fff;
font-family: Arial, sans-serif;
font-size: 80%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.ChartColHead2 {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
border: solid #ddd 1px
}
.ChartRowOdd {
background-color: #eee
}
.ChartRowEven {
background-color: #fff
}
.ChartTextCell {
text-align: center;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartTextCellLeft {
text-align: left;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartNumCell {
text-align: right;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartNumCellSmall {
font-family: Arial, sans-serif;
font-size: 85%;
text-align: right;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartSubCell {
text-align: right;
border-top: solid #000 2px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-weight: bold;
background-color: #ccc;
padding-left: 4px;
padding-right: 2px
}
.ChartTotCell {
text-align: right;
border-top: double #000 3px;
border-bottom: double #000 3px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-weight: bold;
background-color: #ccc;
padding-left: 4px;
padding-right: 2px
}
#dhtmltooltip {
position: absolute;
left: -300px;
width: 150px;
border: 1px solid #000;
padding: 2px;
background-color: #ffffe0;
visibility: hidden;
z-index: 100;
filter: progid: DXImageTransform.Microsoft.Shadow(color=gray, direction=135)
}
#dhtmlpointer {
position: absolute;
left: -300px;
z-index: 101;
visibility: hidden
}
.div_help {
font-family: arial, verdana, helvetica, sans-serif;
font-size: small;
text-align: left;
padding: 10px
}
.SideCalcTitleCell {
font-size: 100%;
background-color: #000;
font-weight: bold;
color: #fff
}
.SideCalcResult {
text-align: right;
width: 94%;
background-color: #eee;
border: solid #000 1px;
font-family: arial, sans-serif;
font-size: 11pt;
color: #000;
padding-right: 5px
}
.SideCalcNum {
font-weight: bold;
width: 30px
}
.SideCalcSign {
font-weight: bold;
color: #00f;
width: 30px
}
.SideCalcClr {
font-weight: bold;
width: 30px;
color: red
}
.SideCalcClrTape {
font-weight: bold;
width: 94%;
color: #000
}
.SideCalcTapeCell {
text-align: center;
background-color: #ccc;
border-top: solid #ccc 1px;
border-left: solid #ccc 1px;
border-right: solid #ccc 1px;
border-bottom: dashed #000 1px;
font-family: courier, arial, sans-serif;
font-size: 10pt;
color: #000;
padding-right: 0px;
padding-left: 0px
}
.BelowCalcTable {
border-collapse: collapse
}
.BelowCalcAdCell {}.BelowCalcColHead {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.BelowCalcImgHead {
background-color: #ccc;
text-align: center;
border: solid #ccc 1px
}
.BelowCalcLinkCell {
text-align: left;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.sppTable {
width: 300px;
border-collapse: collapse
}
.sppRow {
background-color: #ddd
}
.sppColHead {
background-color: #fff;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
width: 240px;
border-left: solid #8f8fb3 1px;
border-top: solid #8f8fb3 1px
}
.sppImgHead {
background-color: #fff;
text-align: center;
width: 60px;
border-right: solid #8f8fb3 1px;
border-top: solid #8f8fb3 1px
}
.sppLinkCell {
font-size: 85%;
text-align: left;
padding-left: 2px;
padding-right: 2px;
border-left: solid #8f8fb3 1px;
border-bottom: solid #8f8fb3 1px;
border-right: solid #8f8fb3 1px
}
.fb_like_button {
border: 1px dotted #000;
background-color: #eee;
padding: 10px;
width: 320px;
float: right
}
.blogItItem {
margin: 18px 0;
padding: 0 12px;
border: 1px solid #ccc;
background: #eee;
box-shadow: 4px 4px 4px #ccc
}
.blogItItem h6 {
font-style: normal;
font-weight: normal;
font-size: 80%
}
.leftnav_heading {
text-align: center
}
.leftnav_heading a {
font-family: Arial, Helvetica, sans-serif;
font-size: 15px;
text-align: left;
line-height: 14px;
background-image: url();
color: #333;
text-decoration: none;
width: 169px;
height: 41px;
display: block;
font-weight: bold;
margin-top: 18px
}
.leftnav_heading a:hover {
background-image: url()
}
.leftnav_heading span {
display: block;
padding: 7px
}
.texttop {
font-size: 15px;
line-height: 14px;
color: #333;
text-shadow: 0px 0px 2px #fff;
margin-bottom: 10px
}
.textbottom {
color: #333;
font-size: 15px;
text-shadow: 0px 0px 2px #fff
}
#mobileBtnDiv {
display: none
}
@media only screen and (max-device-width: 640px) {
#mobileBtnDiv {
display: block;
width: 100%;
text-align: center;
padding: 10px
}
#mobileBtn {
display: inline-block;
text-align: center;
width: 50%;
font-size: 2em;
line-height: 2em;
background-color: #0f5378;
color: #fff;
text-decoration: none;
border-radius: 10px;
border: 1px solid #fff
}
#mobileBtn:hover {
background-color: #4cc2ce;
color: #087197
}
}
</style>
<script>
var mod_pagespeed_OF92fEcIak = "function find_gcf(form){var v_num_1=sn(document.calc.num_1.value);var v_num_2=sn(document.calc.num_2.value);var v_num_3=sn(document.calc.num_3.value);var v_num_4=sn(document.calc.num_4.value);if(v_num_1==0||v_num_2==0){alert(\"Please enter a first and second number to find greatest common factor for.\");document.calc.num_1.focus();}else\nif(v_num_4>0&&(v_num_1==0||v_num_2==0||v_num_3==0)){alert(\"Please enter the 1st, 2nd, and 3rd numbers in order to include a 4th number.\");document.calc.num_1.focus();}else{var mult_chk=0;var mults_1=\"\";var mults_2=\"\";var mults_3=\"\";var mults_4=\"\";var max_gcf=0;if(v_num_1>v_num_2&&v_num_1>v_num_3&&v_num_1>v_num_4){max_gcf=v_num_1;}else\nif(v_num_2>v_num_1&&v_num_2>v_num_3&&v_num_2>v_num_4){max_gcf=v_num_2;}else\nif(v_num_3>v_num_1&&v_num_3>v_num_2&&v_num_3>v_num_4){max_gcf=v_num_3;}else{max_gcf=v_num_4;}\nvar v_gfc=1;var cnt=max_gcf;while(cnt>0){if(v_num_3==0){if(v_num_1%cnt==0&&v_num_2%cnt==0&&mult_chk==0){v_gcf=cnt;mult_chk=1;}\nif(v_num_1%cnt==0){mults_1=\"\"+cnt+\", \"+mults_1+\"\";}\nif(v_num_2%cnt==0){mults_2=\"\"+cnt+\", \"+mults_2+\"\";}}else\nif(v_num_3>0&&v_num_4==0){if(v_num_1%cnt==0&&v_num_2%cnt==0&&v_num_3%cnt==0&&mult_chk==0){v_gcf=cnt;mult_chk=1;}\nif(v_num_1%cnt==0){mults_1=\"\"+cnt+\", \"+mults_1+\"\";}\nif(v_num_2%cnt==0){mults_2=\"\"+cnt+\", \"+mults_2+\"\";}\nif(v_num_3%cnt==0){mults_3=\"\"+cnt+\", \"+mults_3+\"\";}}else{if(v_num_1%cnt==0&&v_num_2%cnt==0&&v_num_3%cnt==0&&v_num_4%cnt==0&&mult_chk==0){v_gcf=cnt;mult_chk=1;}\nif(v_num_1%cnt==0){mults_1=\"\"+cnt+\", \"+mults_1+\"\";}\nif(v_num_2%cnt==0){mults_2=\"\"+cnt+\", \"+mults_2+\"\";}\nif(v_num_3%cnt==0){mults_3=\"\"+cnt+\", \"+mults_3+\"\";}\nif(v_num_4%cnt==0){mults_4=\"\"+cnt+\", \"+mults_4+\"\";}}\ncnt--;}\ndocument.calc.gcf.value=v_gcf;mults_1=mults_1.substring(0,mults_1.length-2);mults_2=mults_2.substring(0,mults_2.length-2);var div_1=v_num_1/v_gcf;var div_2=v_num_2/v_gcf;var num_list=v_num_1+\" and \"+v_num_2+\"\";var tbl=\"<center><table class='ChartTable'>\";tbl+=\"<tr>\";tbl+=\"<td class='ChartColHead2'>Number</td>\";tbl+=\"<td class='ChartColHead2'>GCF Divisor</td>\";tbl+=\"<td class='ChartColHead2'>Factors of Number</td>\";tbl+=\"</tr>\";tbl+=\"<tr>\";tbl+=\"<td width='75' class='ChartTextCell'>\"+v_num_1+\"</td>\";tbl+=\"<td width='200' class='ChartTextCell'>\"+v_num_1+\" ÷ \"+v_gcf+\" = \"+div_1+\"</td>\";tbl+=\"<td width='300' class='ChartTextCell'>\";tbl+=\"<textarea name='num_1_mults' cols='30' rows='3' wrap='virtual'>\"+mults_1+\"</textarea>\";tbl+=\"</td>\";tbl+=\"</tr>\";tbl+=\"<tr>\";tbl+=\"<td width='75' class='ChartTextCell'>\"+v_num_2+\"</td>\";tbl+=\"<td width='200' class='ChartTextCell'>\"+v_num_2+\" ÷ \"+v_gcf+\" = \"+div_2+\"</td>\";tbl+=\"<td width='300' class='ChartTextCell'>\";tbl+=\"<textarea name='num_2_mults' cols='30' rows='3' wrap='virtual'>\"+mults_2+\"</textarea>\";tbl+=\"</td>\";tbl+=\"</tr>\";if(v_num_3>0){mults_3=mults_3.substring(0,mults_3.length-2);var div_3=v_num_3/v_gcf;num_list=v_num_1+\", \"+v_num_2+\" and \"+v_num_3+\"\";tbl+=\"<tr>\";tbl+=\"<td width='75' class='ChartTextCell'>\"+v_num_3+\"</td>\";tbl+=\"<td width='200' class='ChartTextCell'>\"+v_num_3+\" ÷ \"+v_gcf+\" = \"+div_3+\"</td>\";tbl+=\"<td width='300' class='ChartTextCell'>\";tbl+=\"<textarea name='num_3_mults' cols='30' rows='3' wrap='virtual'>\"+mults_3+\"</textarea>\";tbl+=\"</td>\";tbl+=\"</tr>\";}\nif(v_num_4>0){mults_4=mults_4.substring(0,mults_4.length-2);var div_4=v_num_4/v_gcf;num_list=v_num_1+\", \"+v_num_2+\", \"+v_num_3+\" and \"+v_num_4+\"\";tbl+=\"<tr>\";tbl+=\"<td width='75' class='ChartTextCell'>\"+v_num_4+\"</td>\";tbl+=\"<td width='200' class='ChartTextCell'>\"+v_num_4+\" ÷ \"+v_gcf+\" = \"+div_4+\"</td>\";tbl+=\"<td width='300' class='ChartTextCell'>\";tbl+=\"<textarea name='num_4_mults' cols='30' rows='3' wrap='virtual'>\"+mults_4+\"</textarea>\";tbl+=\"</td>\";tbl+=\"</tr>\";}\ntbl+=\"</table></center>\";var v_summary=\"<br /><img src='image-files/calcy-pointer-right.jpg' width='60' height='54' class='ItemLeft' />\";v_summary+=\"According to my calculations, the greatest common factor of the numbers \"+num_list+\" \";v_summary+=\"is <strong>\"+v_gcf+\"</strong>. \";if(v_gcf==1){v_summary+=\"Therefore no reduction or simplification is possible with the entered numbers.<br /><br />\";document.getElementById(\"summary\").innerHTML=v_summary+\"\"+tbl+\"<br /><br />\";}else{v_summary+=\"The following table shows how I arrived at my conclusions:<br /><br />\";document.getElementById(\"summary\").innerHTML=v_summary+\"\"+tbl+\"<br /><br />\";}}}\nfunction clear_results(form){document.calc.gcf.value=\"\";document.getElementById(\"summary\").innerHTML=\"\";}\nfunction reset_calc(form){document.getElementById(\"summary\").innerHTML=\"\";document.calc.reset();}";
var mod_pagespeed_PJWHvBYF1j = "var offsetfromcursorX=12\nvar offsetfromcursorY=10\nvar offsetdivfrompointerX=10\nvar offsetdivfrompointerY=14\ndocument.write('<div class=\"div_help\" id=\"dhtmltooltip\" onClick=\"hideddrivetip()\"></div>')\ndocument.write('<img id=\"dhtmlpointer\" src=\"http://www.free-online-calculator-use.com/image-files/arrow2.gif\">')\nvar ie=document.all\nvar ns6=document.getElementById&&!document.all\nvar enabletip=false\nif(ie||ns6)\nvar tipobj=document.all?document.all[\"dhtmltooltip\"]:document.getElementById?document.getElementById(\"dhtmltooltip\"):\"\"\nvar pointerobj=document.all?document.all[\"dhtmlpointer\"]:document.getElementById?document.getElementById(\"dhtmlpointer\"):\"\"\nfunction ietruebody(){return(document.compatMode&&document.compatMode!=\"BackCompat\")?document.documentElement:document.body}\nfunction ddrivetip(thetext,thewidth,thecolor){if(ns6||ie){if(typeof thewidth!=\"undefined\")tipobj.style.width=thewidth+\"px\"\nif(typeof thecolor!=\"undefined\"&&thecolor!=\"\")tipobj.style.backgroundColor=thecolor\ntipobj.innerHTML=thetext\nenabletip=true\nreturn false}}\nfunction positiontip(e){if(enabletip){var nondefaultpos=false\nvar curX=(ns6)?e.pageX:event.clientX+ietruebody().scrollLeft;var curY=(ns6)?e.pageY:event.clientY+ietruebody().scrollTop;var winwidth=ie&&!window.opera?ietruebody().clientWidth:window.innerWidth-20\nvar winheight=ie&&!window.opera?ietruebody().clientHeight:window.innerHeight-20\nvar rightedge=ie&&!window.opera?winwidth-event.clientX-offsetfromcursorX:winwidth-e.clientX-offsetfromcursorX\nvar bottomedge=ie&&!window.opera?winheight-event.clientY-offsetfromcursorY:winheight-e.clientY-offsetfromcursorY\nvar leftedge=(offsetfromcursorX<0)?offsetfromcursorX*(-1):-1000\nif(rightedge<tipobj.offsetWidth){tipobj.style.left=curX-tipobj.offsetWidth+\"px\"\nnondefaultpos=true}\nelse if(curX<leftedge)\ntipobj.style.left=\"5px\"\nelse{tipobj.style.left=curX+offsetfromcursorX-offsetdivfrompointerX+\"px\"\npointerobj.style.left=curX+offsetfromcursorX+\"px\"}\nif(bottomedge<tipobj.offsetHeight){tipobj.style.top=curY-tipobj.offsetHeight-offsetfromcursorY+\"px\"\nnondefaultpos=true}\nelse{tipobj.style.top=curY+offsetfromcursorY+offsetdivfrompointerY+\"px\"\npointerobj.style.top=curY+offsetfromcursorY+\"px\"}\ntipobj.style.visibility=\"visible\"\nif(!nondefaultpos)\npointerobj.style.visibility=\"visible\"\nelse\npointerobj.style.visibility=\"hidden\"}}\nfunction hideddrivetip(){if(ns6||ie){enabletip=false\ntipobj.style.visibility=\"hidden\"\npointerobj.style.visibility=\"hidden\"\ntipobj.style.left=\"-1000px\"\ntipobj.style.backgroundColor=''\ntipobj.style.width=''}}\ndocument.onmousemove=positiontip\nfunction sn(num){num=num.toString();var len=num.length;var rnum=\"\";var test=\"\";var j=0;var b=num.substring(0,1);if(b==\"-\"){rnum=\"-\";}\nfor(i=0;i<=len;i++){b=num.substring(i,i+1);if(b==\"0\"||b==\"1\"||b==\"2\"||b==\"3\"||b==\"4\"||b==\"5\"||b==\"6\"||b==\"7\"||b==\"8\"||b==\"9\"||b==\".\"){rnum=rnum+\"\"+b;}}\nif(rnum==\"\"||rnum==\"-\"){rnum=0;}\nrnum=Number(rnum);return rnum;}\nfunction fns(num,places,comma,type,show){var sym_1=\"$\";var sym_2=\"\";var isNeg=0;if(num<0){num=num*-1;isNeg=1;}\nvar myDecFact=1;var myPlaces=0;var myZeros=\"\";while(myPlaces<places){myDecFact=myDecFact*10;myPlaces=Number(myPlaces)+Number(1);myZeros=myZeros+\"0\";}\nonum=Math.round(num*myDecFact)/myDecFact;integer=Math.floor(onum);if(Math.ceil(onum)==integer){decimal=myZeros;}else{decimal=Math.round((onum-integer)*myDecFact)}\ndecimal=decimal.toString();if(decimal.length<places){fillZeroes=places-decimal.length;for(z=0;z<fillZeroes;z++){decimal=\"0\"+decimal;}}\nif(places>0){decimal=\".\"+decimal;}\nif(comma==1){integer=integer.toString();var tmpnum=\"\";var tmpinteger=\"\";var y=0;for(x=integer.length;x>0;x--){tmpnum=tmpnum+integer.charAt(x-1);y=y+1;if(y==3&x>1){tmpnum=tmpnum+\",\";y=0;}}\nfor(x=tmpnum.length;x>0;x--){tmpinteger=tmpinteger+tmpnum.charAt(x-1);}\nfinNum=tmpinteger+\"\"+decimal;}else{finNum=integer+\"\"+decimal;}\nif(isNeg==1){if(type==1&&show==1){finNum=\"-\"+sym_1+\"\"+finNum+\"\"+sym_2;}else{finNum=\"-\"+finNum;}}else{if(show==1){if(type==1){finNum=sym_1+\"\"+finNum+\"\"+sym_2;}else\nif(type==2){finNum=finNum+\"%\";}}}\nreturn finNum;}\nfunction side_calc_b(num){var v_result=document.side_calc.result.value;if(v_result.length<10){var v_new_result=v_result+\"\"+num;document.side_calc.result.value=v_new_result;}}\nfunction side_calc_del(num){var v_result=document.side_calc.result.value;if(v_result.length>0){var v_new_result=v_result.substring(0,v_result.length-1);document.side_calc.result.value=v_new_result;}}\nfunction side_calc_sign(sgn){document.side_calc.h_sign.value=sgn;document.side_calc.h_num_1.value=document.side_calc.result.value;document.side_calc.result.value=\"\";var tape_sgn=\"\";if(sgn!=\"\"){if(sgn==\"/\"){tape_sgn=\"÷\";}else\nif(sgn==\"*\"){tape_sgn=\"×\";}else\nif(sgn==\"-\"){tape_sgn=\"-\";}else\nif(sgn==\"+\"){tape_sgn=\"+\";}}\nvar tape_new=document.getElementById(\"side_calc_tape_new\").innerHTML;var new_tape=\"\"+document.side_calc.h_num_1.value+\" \"+tape_sgn+\"\";document.getElementById(\"side_calc_tape_new\").innerHTML=new_tape;}\nfunction side_calc_equal(form){var v_1=Number(document.side_calc.h_num_1.value);var v_2=Number(document.side_calc.result.value);var v_sign=document.getElementById(\"h_sign\").value;var v_new_result=0;if(v_sign!=\"\"){if(v_sign==\"/\"){v_new_result=v_1/v_2;}else\nif(v_sign==\"*\"){v_new_result=v_1*v_2;}else\nif(v_sign==\"-\"){v_new_result=v_1-v_2;}else\nif(v_sign==\"+\"){v_new_result=v_1+v_2;}\nif(v_new_result>99999999.99||v_new_result<-99999999.99){alert(\"Sorry, the result is too big (greater than 1 billion) for this calculator.\");}else{document.side_calc.result.value=v_new_result;document.side_calc.h_num_1.value=v_new_result;document.side_calc.h_sign.value=\"\";var tape_new=document.getElementById(\"side_calc_tape_new\").innerHTML;var new_tape=\"\"+tape_new+\" \"+v_2+\" = \"+v_new_result+\"\";document.getElementById(\"side_calc_tape_new\").innerHTML=\"\";var tape_old=document.getElementById(\"side_calc_tape_old\").innerHTML;document.getElementById(\"side_calc_tape_old\").innerHTML=\"\"+new_tape+\"<hr style='border: dashed #EEEEEE 1px; line-height: 1;'>\"+tape_old+\"\";document.getElementById(\"side_calc_tape_but\").innerHTML=\"<input type='button' value='Throw 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<strong>Pin</strong>.\"],[3,\"Credit\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[4,\"Debt\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[5,\"Income\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[6,\"Invest\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[7,\"Loan\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[8,\"Mortgage\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[9,\"Finance\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[10,\"Retire\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[11,\"College\",\"WyzAnt\",\"Find a <a href='http://www.shareasale.com/r.cfm?b=246096&u=724440&m=28558&urllink=&afftrack=' rel='nofollow' target='_blank'>local tutor</a> today!\"],[12,\"Business\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[13,\"\",\"\",\"\"],[14,\"\",\"\",\"\"],[15,\"\",\"\",\"\"],[16,\"\",\"\",\"\"],[17,\"\",\"\",\"\"],[18,\"\",\"\",\"\"],[19,\"\",\"\",\"\"],[20,\"Date\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[21,\"Conversion\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[22,\"Math\",\"WyzAnt\",\"Find a local <a href='http://www.shareasale.com/r.cfm?b=246097&u=724440&m=28558&urllink=&afftrack=' rel='nofollow' target='_blank'>math tutor</a> today!\"],[23,\"Date\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a <strong>Like</strong>, <strong>Tweet</strong>, <strong>+1</strong>, or <strong>Pin</strong>.\"],[24,\"Sports\",\"SocialMedia\",\"If you like this web app, please pay it forward with a 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<script>eval(mod_pagespeed_OF92fEcIak);</script>
<script>eval(mod_pagespeed_PJWHvBYF1j);</script>
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<body>
<p>
<a name="calculator"></a>
<form name="calc" method="post" action="#">
<table class="CalcTable">
<tbody>
<tr>
<td colspan="2" align="center" class="CalcTitleCell">
GREATEST COMMON FACTOR CALCULATOR
</td>
</tr>
<tr>
<td colspan="2" class="CalcInstructCell">
<div class="fb-like" data-send="false" data-width="350" data-show-faces="false"></div>
<br/>
<br/>
<strong>Instructions:</strong> Enter at least two numbers to find the GCF for and then click the "Find the Greatest Common Factor" button.
<p>
Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Greatest Common Factor Calculator.
</p>
</td>
</tr>
<tr class="ChartRowEven">
<td width="475" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('Enter the first of the numbers to find the greatest common factor for. Number entered should be an integer greater than zero.',250)" ; onMouseout="hideddrivetip()">
1st number (#):
</td>
<td width="125" class="ChartTextCell">
<input type="text" id="num_1" name="num_1" size="12" value="" class="CalcInFld" onKeyUp="clear_results(this.form)"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="475" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('Enter the second of the numbers to find the greatest common factor for. Number entered should be an integer greater than zero.',250)" ; onMouseout="hideddrivetip()">
2nd number (#):
</td>
<td width="125" class="ChartTextCell">
<input type="text" id="num_2" name="num_2" size="12" value="" class="CalcInFld" onKeyUp="clear_results(this.form)"/>
</td>
</tr>
<tr class="ChartRowEven">
<td width="475" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAgAAZABkAAD/2wBDAAYEBAQFBAYFBQYJBgUGCQsIBgYICwwKCgsKCgwQDAwMDAwMEAwODxAPDgwTExQUExMcGxsbHB8fHx8fHx8fHx//2wBDAQcHBw0MDRgQEBgaFREVGh8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx//wAARCAAPAA8DAREAAhEBAxEB/8QAFQABAQAAAAAAAAAAAAAAAAAABQP/xAAkEAACAgEDBAIDAAAAAAAAAAABAgMFBAYRIQAHEjETIhUjYf/EABYBAQEBAAAAAAAAAAAAAAAAAAIDBf/EACARAQAABgIDAQAAAAAAAAAAAAEAAgMREkExURNhceH/2gAMAwEAAhEDEQA/AL5OrLB+4uo6+zvdSmBLLKhra6kyX+UkZLqEVXYqqog4AH862SkeOVCXjcZjO5os3OoYr/z+J3mXSA1ZcZ9ZNj5SMWzJWnjaSvlbY/Yx/NE+xU7cMAffU5sWjniD89wy5UxybfkDrp3VEHd+1salYcvMaysHxMbCtqyHM/Y8vlskrZDKRGW81aLcDf0eRTOVpA9Gm0DCbyKduyAtHaOu4LvId8iuLmutUAS1rZH85K3IQcJkM23k32b0o5OwBPVatUtvk09nqBTpt9cOzqP/2Q==" alt="Help" onMouseover="ddrivetip('Enter the optional 3rd of the numbers to find the greatest common factor for. In order to include the 3rd number, the 1st and 2nd numbers are required. Number entered should be an integer greater than zero.',250)" ; onMouseout="hideddrivetip()">
3rd number (optional #):
</td>
<td width="125" class="ChartTextCell">
<input type="text" id="num_3" name="num_3" size="12" value="" class="CalcInFld" onKeyUp="clear_results(this.form)"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="475" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('Enter the optional 4th of the numbers to find the greatest common factor for. In order to include the 4th number, the 1st, 2nd, and 3rd numbers are required. Number entered should be an integer greater than zero.',250)" ; onMouseout="hideddrivetip()">
4th number (optional #):
</td>
<td width="125" class="ChartTextCell">
<input type="text" id="num_4" name="num_4" size="12" value="" class="CalcInFld" onKeyUp="clear_results(this.form)"/>
</td>
</tr>
<tr class="ChartRowEven">
<td colspan="2" class="ChartTextCell">
<input type="button" class="CalcButton" value="Find the Greatest Common Factor" onClick="find_gcf(this.form)"/>
<input type="button" class="CalcButton" value="Reset" onClick="reset_calc(this.form)"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="475" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the greatest common factor for the numbers you entered. If the result is one, it means that your entries do not have any factors in common other than one -- meaning no reduction or simplification is possible.',250)" ; onMouseout="hideddrivetip()">
Greatest common factor:
</td>
<td width="125" class="ChartTextCell">
<input type="text" id="gcf" name="gcf" size="12" value="" class="CalcOutFldOdd"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td colspan="2" class="CalcSummaryCell" id="summary">
</td>
</tr>
<tr>
<td colspan="2" class="calc_soc_row">
</td>
</tr>
</tbody>
</table>
</form>
</p>
</body>
</html>
What are Factors?
The factors of a number is the set of all non-zero numbers that divide into the number evenly. For example, the factors of the number 12 would be as follows:
Factors of 12: 1, 2, 3, 4, 6, 12
Because ...
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12
Because ...
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12
What are Common Factors?
Common factors occur when two or more numbers share one or more of the same factors. For example, the numbers 12 and 20 have the following factors, with the common factors appearing in orange:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 20: 1, 2, 4, 5, 10, 20
What is a Greatest Common Factor?
The greatest common factor (A.K.A: GCF, Greatest Common Divisor, GCD) is the highest factor that two or more numbers share. Referring back to the numbers 12 and 20, the GCF would be 4 based on the following set of common factors:
Common Factors of 12 & 20: 1, 2, 4
How is Finding the Greatest Common Factor Useful?
The most common use of finding the GCF is for reducing or simplifying fractions, which we will cover on the various fraction calculator pages.With that, let's use the Greatest Common Factor Calculator to find the GCF of up to 4 different numbers.
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