Greatest Common Factor of 6264/137, 4568/9561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6264/137, 4568/9561

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 6264/137,4568/9561

Given fractions are 6264/137,4568/9561

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 6264,4568

Greatest Common Factor of Numerators i.e. GCF of 6264,4568 is 8 .

LCM of Denominators means LCM of 137,9561 as per the given fractions.

LCM of 137,9561 is 1309857 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6264,4568

GCF of Fractions 6264/137,4568/9561 is 8/1309857

2 6264, 4568
2 3132, 2284
2 1566, 1142
783, 571

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6264,4568 By Matching Biggest Common Factor Method

Greatest Common Factor of 6264,4568 By Matching Biggest Common Factor Method

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Factors of 4568

List of positive integer factors of 4568 that divides 4568 without a remainder.

1,2,4,8,571,1142,2284,4568

Greatest Common Factor

We found the factors 6264,4568 . The biggest common factor number is the GCF number.
So the greatest common factor 6264,4568 is 8.

Lets's calculate LCM of 137,9561

Given numbers has no common factors except 1. So, there LCM is their product i.e 1309857

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1309857

Therefore, the GCF of Fractions 6264/137,4568/9561 is 8/1309857

Least Common Multiple of 137,9561 with GCF Formula

Least Common Multiple of 137,9561 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 137,9561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,9561) = 1

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

GCF(137,9561) x common factors =1 x 1 = 1

LCM(137,9561) = ( 137 × 9561 ) / 1

LCM(137,9561) = 1309857 / 1

LCM(137,9561) = 1309857


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 6264/137, 4568/9561

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 6264/137, 4568/9561?

Answer: GCF of Numerators as per given numbers 6264/137, 4568/9561 is

GCF of Numerators i.e. for 6264,4568 is 8

LCM of denominators i.e. for 137,9561 is 1309857.

Thus, GCF of Fractions is 8/1309857.Finally, GCF of Fractions for 6264/137, 4568/9561 is 8/1309857.