Greatest Common Factor of 2916/971, 7358/5349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2916/971, 7358/5349

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 2916/971,7358/5349

Given fractions are 2916/971,7358/5349

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 2916,7358

Greatest Common Factor of Numerators i.e. GCF of 2916,7358 is 2 .

LCM of Denominators means LCM of 971,5349 as per the given fractions.

LCM of 971,5349 is 5193879 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2916,7358

GCF of Fractions 2916/971,7358/5349 is 2/5193879

2 2916, 7358
1458, 3679

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2916,7358 By Matching Biggest Common Factor Method

Greatest Common Factor of 2916,7358 By Matching Biggest Common Factor Method

Factors of 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916

Factors of 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1,2,13,26,283,566,3679,7358

Greatest Common Factor

We found the factors 2916,7358 . The biggest common factor number is the GCF number.
So the greatest common factor 2916,7358 is 2.

Lets's calculate LCM of 971,5349

Given numbers has no common factors except 1. So, there LCM is their product i.e 5193879

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5193879

Therefore, the GCF of Fractions 2916/971,7358/5349 is 2/5193879

Least Common Multiple of 971,5349 with GCF Formula

Least Common Multiple of 971,5349 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 971,5349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,5349) = 1

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

GCF(971,5349) x common factors =1 x 1 = 1

LCM(971,5349) = ( 971 × 5349 ) / 1

LCM(971,5349) = 5193879 / 1

LCM(971,5349) = 5193879


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 2916/971, 7358/5349

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 2916/971, 7358/5349?

Answer: GCF of Numerators as per given numbers 2916/971, 7358/5349 is

GCF of Numerators i.e. for 2916,7358 is 2

LCM of denominators i.e. for 971,5349 is 5193879.

Thus, GCF of Fractions is 2/5193879.Finally, GCF of Fractions for 2916/971, 7358/5349 is 2/5193879.