Greatest Common Factor of 931/57, 6391/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 931/57, 6391/816

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 931/57,6391/816

Given fractions are 931/57,6391/816

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 931,6391

Greatest Common Factor of Numerators i.e. GCF of 931,6391 is 7 .

LCM of Denominators means LCM of 57,816 as per the given fractions.

LCM of 57,816 is 15504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 931,6391

GCF of Fractions 931/57,6391/816 is 7/15504

7 931, 6391
133, 913

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 931,6391 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,6391 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1,7,11,77,83,581,913,6391

Greatest Common Factor

We found the factors 931,6391 . The biggest common factor number is the GCF number.
So the greatest common factor 931,6391 is 7.

Lets's calculate LCM of 57,816

3 57, 816
19, 272

∴ So the LCM of the given numbers is 3 x 19 x 272 = 15504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15504

Therefore, the GCF of Fractions 931/57,6391/816 is 7/15504

Least Common Multiple of 57,816 with GCF Formula

Least Common Multiple of 57,816 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 57,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,816) = 3

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

GCF(57,816) x common factors =3 x 1 = 3

LCM(57,816) = ( 57 × 816 ) / 3

LCM(57,816) = 46512 / 3

LCM(57,816) = 15504


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 931/57, 6391/816

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 931/57, 6391/816?

Answer: GCF of Numerators as per given numbers 931/57, 6391/816 is

GCF of Numerators i.e. for 931,6391 is 7

LCM of denominators i.e. for 57,816 is 15504.

Thus, GCF of Fractions is 7/15504.Finally, GCF of Fractions for 931/57, 6391/816 is 7/15504.