Greatest Common Factor of 931/96, 6878/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 931/96, 6878/424

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 931/96,6878/424

Given fractions are 931/96,6878/424

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 931,6878

Greatest Common Factor of Numerators i.e. GCF of 931,6878 is 19 .

LCM of Denominators means LCM of 96,424 as per the given fractions.

LCM of 96,424 is 5088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 931,6878

GCF of Fractions 931/96,6878/424 is 19/5088

19 931, 6878
49, 362

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 931,6878 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,6878 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 6878

List of positive integer factors of 6878 that divides 6878 without a remainder.

1,2,19,38,181,362,3439,6878

Greatest Common Factor

We found the factors 931,6878 . The biggest common factor number is the GCF number.
So the greatest common factor 931,6878 is 19.

Lets's calculate LCM of 96,424

2 96, 424
2 48, 212
2 24, 106
12, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 53 = 5088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/5088

Therefore, the GCF of Fractions 931/96,6878/424 is 19/5088

Least Common Multiple of 96,424 with GCF Formula

Least Common Multiple of 96,424 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 96,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,424) = 8

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

GCF(96,424) x common factors =8 x 1 = 8

LCM(96,424) = ( 96 × 424 ) / 8

LCM(96,424) = 40704 / 8

LCM(96,424) = 5088


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 931/96, 6878/424

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 931/96, 6878/424?

Answer: GCF of Numerators as per given numbers 931/96, 6878/424 is

GCF of Numerators i.e. for 931,6878 is 19

LCM of denominators i.e. for 96,424 is 5088.

Thus, GCF of Fractions is 19/5088.Finally, GCF of Fractions for 931/96, 6878/424 is 19/5088.