Greatest Common Factor of 57/864, 7134/9961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/864, 7134/9961

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 57/864,7134/9961

Given fractions are 57/864,7134/9961

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 57,7134

Greatest Common Factor of Numerators i.e. GCF of 57,7134 is 3 .

LCM of Denominators means LCM of 864,9961 as per the given fractions.

LCM of 864,9961 is 8606304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,7134

GCF of Fractions 57/864,7134/9961 is 3/8606304

3 57, 7134
19, 2378

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

Greatest Common Factor of 57,7134 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,7134 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Greatest Common Factor

We found the factors 57,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 57,7134 is 3.

Lets's calculate LCM of 864,9961

Given numbers has no common factors except 1. So, there LCM is their product i.e 8606304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8606304

Therefore, the GCF of Fractions 57/864,7134/9961 is 3/8606304

Least Common Multiple of 864,9961 with GCF Formula

Least Common Multiple of 864,9961 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 864,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,9961) = 1

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

GCF(864,9961) x common factors =1 x 1 = 1

LCM(864,9961) = ( 864 × 9961 ) / 1

LCM(864,9961) = 8606304 / 1

LCM(864,9961) = 8606304


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 57/864, 7134/9961

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 57/864, 7134/9961?

Answer: GCF of Numerators as per given numbers 57/864, 7134/9961 is

GCF of Numerators i.e. for 57,7134 is 3

LCM of denominators i.e. for 864,9961 is 8606304.

Thus, GCF of Fractions is 3/8606304.Finally, GCF of Fractions for 57/864, 7134/9961 is 3/8606304.