Greatest Common Factor of 7317/938, 8379/7631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7317/938, 8379/7631

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 7317/938,8379/7631

Given fractions are 7317/938,8379/7631

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 7317,8379

Greatest Common Factor of Numerators i.e. GCF of 7317,8379 is 9 .

LCM of Denominators means LCM of 938,7631 as per the given fractions.

LCM of 938,7631 is 7157878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7317,8379

GCF of Fractions 7317/938,8379/7631 is 9/7157878

3 7317, 8379
3 2439, 2793
813, 931

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7317,8379 By Matching Biggest Common Factor Method

Greatest Common Factor of 7317,8379 By Matching Biggest Common Factor Method

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1,3,9,27,271,813,2439,7317

Factors of 8379

List of positive integer factors of 8379 that divides 8379 without a remainder.

1,3,7,9,19,21,49,57,63,133,147,171,399,441,931,1197,2793,8379

Greatest Common Factor

We found the factors 7317,8379 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,8379 is 9.

Lets's calculate LCM of 938,7631

Given numbers has no common factors except 1. So, there LCM is their product i.e 7157878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/7157878

Therefore, the GCF of Fractions 7317/938,8379/7631 is 9/7157878

Least Common Multiple of 938,7631 with GCF Formula

Least Common Multiple of 938,7631 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 938,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,7631) = 1

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

GCF(938,7631) x common factors =1 x 1 = 1

LCM(938,7631) = ( 938 × 7631 ) / 1

LCM(938,7631) = 7157878 / 1

LCM(938,7631) = 7157878


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 7317/938, 8379/7631

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 7317/938, 8379/7631?

Answer: GCF of Numerators as per given numbers 7317/938, 8379/7631 is

GCF of Numerators i.e. for 7317,8379 is 9

LCM of denominators i.e. for 938,7631 is 7157878.

Thus, GCF of Fractions is 9/7157878.Finally, GCF of Fractions for 7317/938, 8379/7631 is 9/7157878.