Greatest Common Factor of 8913/52, 7926/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8913/52, 7926/113

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 8913/52,7926/113

Given fractions are 8913/52,7926/113

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 8913,7926

Greatest Common Factor of Numerators i.e. GCF of 8913,7926 is 3 .

LCM of Denominators means LCM of 52,113 as per the given fractions.

LCM of 52,113 is 5876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8913,7926

GCF of Fractions 8913/52,7926/113 is 3/5876

3 8913, 7926
2971, 2642

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8913,7926 By Matching Biggest Common Factor Method

Greatest Common Factor of 8913,7926 By Matching Biggest Common Factor Method

Factors of 8913

List of positive integer factors of 8913 that divides 8913 without a remainder.

1,3,2971,8913

Factors of 7926

List of positive integer factors of 7926 that divides 7926 without a remainder.

1,2,3,6,1321,2642,3963,7926

Greatest Common Factor

We found the factors 8913,7926 . The biggest common factor number is the GCF number.
So the greatest common factor 8913,7926 is 3.

Lets's calculate LCM of 52,113

Given numbers has no common factors except 1. So, there LCM is their product i.e 5876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5876

Therefore, the GCF of Fractions 8913/52,7926/113 is 3/5876

Least Common Multiple of 52,113 with GCF Formula

Least Common Multiple of 52,113 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 52,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,113) = 1

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

GCF(52,113) x common factors =1 x 1 = 1

LCM(52,113) = ( 52 × 113 ) / 1

LCM(52,113) = 5876 / 1

LCM(52,113) = 5876


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 8913/52, 7926/113

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 8913/52, 7926/113?

Answer: GCF of Numerators as per given numbers 8913/52, 7926/113 is

GCF of Numerators i.e. for 8913,7926 is 3

LCM of denominators i.e. for 52,113 is 5876.

Thus, GCF of Fractions is 3/5876.Finally, GCF of Fractions for 8913/52, 7926/113 is 3/5876.