Greatest Common Factor of 564/631, 9768/9075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/631, 9768/9075

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 564/631,9768/9075

Given fractions are 564/631,9768/9075

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 564,9768

Greatest Common Factor of Numerators i.e. GCF of 564,9768 is 12 .

LCM of Denominators means LCM of 631,9075 as per the given fractions.

LCM of 631,9075 is 5726325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,9768

GCF of Fractions 564/631,9768/9075 is 12/5726325

2 564, 9768
2 282, 4884
3 141, 2442
47, 814

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 564,9768 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,9768 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Greatest Common Factor

We found the factors 564,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 564,9768 is 12.

Lets's calculate LCM of 631,9075

Given numbers has no common factors except 1. So, there LCM is their product i.e 5726325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5726325

Therefore, the GCF of Fractions 564/631,9768/9075 is 12/5726325

Least Common Multiple of 631,9075 with GCF Formula

Least Common Multiple of 631,9075 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 631,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,9075) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(631,9075) x common factors =1 x 1 = 1

LCM(631,9075) = ( 631 × 9075 ) / 1

LCM(631,9075) = 5726325 / 1

LCM(631,9075) = 5726325


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 564/631, 9768/9075

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 564/631, 9768/9075?

Answer: GCF of Numerators as per given numbers 564/631, 9768/9075 is

GCF of Numerators i.e. for 564,9768 is 12

LCM of denominators i.e. for 631,9075 is 5726325.

Thus, GCF of Fractions is 12/5726325.Finally, GCF of Fractions for 564/631, 9768/9075 is 12/5726325.