GCF Calculator
GCF Calculator
GCF or Greatest Common Factor or Highest Common factor is the largest number
that divides the number with zero remainder of two or more integers.
Gcf is calculate by different methods Which are division method or factorization
method etc .GCF calculator is help efficiently calculate the factors that is highest
common factor that helps the student in finding the gcf more effectively .
Examples of gcf are as follows :-
Number 54 as 54 = 27 * 2 = 18 * 3 = 9 * 6 can be represent in form of product of
two integers. 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 are many divisor of 54 that divides the
54 and same as above 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 are the divisor of 24 .
There are some common divisor are 1 , 2 , 3 ,6 and these factors greatest
common factor is 6 in case of finding the gcf of 54 and 24 .
Sometimes it is very easy to find the gcf with the help of gcf calculator as in gcf
calculator if one should wants to find the highest factor of two integers or more,
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then he should enters the list of integers for which he wants to find the gcf that is
separated by commas or spaces .It will be written as gcf( 54 , 24 ) = 6 .
gcf is used to reduce the fraction to its lowest terms if both numerator and
denominator have the common gcf if 14 / 35 = 7 * 2 / 7 * 5 = 2 / 5 as an example
gcf( 14 , 35 ) = 7 .
Enter the number that have only the positive integer, ignore negative sign .
If there are two numbers then find the greater of two numbers, than smaller one
will divisor and bigger one will be the dividend.
Put the Calculated remainder in the above expression.
Until residue become zero rewrite the formula again and use the old divisor as
new dividend and also remainder as a new divisor.
At last the final divisor is gcf that is calculated by the calculator .
By an example It can be understand more easily as if we have 15 and 20 two
integers and find the gcf( 15 , 20 ) then according to the above rules remove the
negative signs and find the bigger value that is 20 and smaller is 15. and 20 is
dividend and 15 will be divisor.
According to above defined formula 20 = 15 * a + b where a and b are quotient
and remainder respectively . Then find the a and b as 20 / 15 = 1 that is equal to a
and b is equal to 5 .
and then according to the above define rule old divisor as new dividend and
remainder as divisor then rewrite the formula as 15 = 5 * a + b then again find
the a and b that equal to 3 and zero respectively .
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Steps to use GCF Calculator :
Step 1: Enter the value of first number.
Step 2: Enter the value of second number.
Step 3: Click on the "solve" button, the text box shows the value of GCF.
Let us take an example to understand GCF Calculator better:
Step 1: Enter the value of first number `14'.
Step 2: Enter the value of second number `49'.
Step 3: Click on the "solve" button, the text box shows the value of GCF = 7.


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