Enter the values and select the method, the calculator will calculate the Greatest Common Factor.
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GCF calculator helps to find the greatest common factors of two or more given set of numbers by using different GCF methods. Even this Greatest Common Factor Calculator can help to find the step-by-step calculation of the Greatest common divisor (GCD), Highest common factor (HCF), and Highest common divisor (HCD) for the given integers.
"The Greatest Common Factor (GCF) is the largest positive integer that divides two or more numbers without leaving a remainder"
There are different other names for the GCF of given values included:
The GCF finder uses the following formulas to find the greatest or highest common factors of the given data set.
Here we have an example to clear the concept of calculation by listing the factors.
For Example:
What is the greatest common factors of 6,10 and 12?
Solution:
List of all the common factors in each of integer = 1,2
Here, the greatest number which is on the list is 2.
GCF result of 6,10,12 = 2
For Example:
What is the Greatest Common Divisor (GCD) of 15,40 and 90?
Solution:
Prime factorization = 1, 5 HCF = 1 × 5
So, the result of (Greatest Common Factor) GCF of the numbers 15, 40, 90 = 5
For Example:
What is a greatest common factors of 22 and 33?
Solution:
So, the result of GCF (Greatest Common Factor) for the number 22 and 33 = 11.
For Example:
Find the gcf of 45,15 and 115?
Ascending order = 15,45,115
Solution:
Step 1:
Initial GCF is 1
Step 2:
So,
15, 50
Step 3:
Now again, divide the even value with 2 So, 15, 25
Step 4:
Subtract 25 from 15 and divided by 2.
(25-15)/2 = 5
So,
15,5
Step 5:
Now, again divide the even value with 2 and remove any duplicate value. Subtract 5 from 15 and divided by 2.
(15-5)/2 = 5
So,
5,5
Step 6:
As there is only one term left, multiply it with your initial gcf:
5*1 = 5
Therefore 5 is the greatest or highest common factors of 15,45 and 115.
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