Greatest Common Factor of 5139/572, 6957/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5139/572, 6957/108

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 5139/572,6957/108

Given fractions are 5139/572,6957/108

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 5139,6957

Greatest Common Factor of Numerators i.e. GCF of 5139,6957 is 9 .

LCM of Denominators means LCM of 572,108 as per the given fractions.

LCM of 572,108 is 15444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5139,6957

GCF of Fractions 5139/572,6957/108 is 9/15444

3 5139, 6957
3 1713, 2319
571, 773

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

Greatest Common Factor of 5139,6957 By Matching Biggest Common Factor Method

Greatest Common Factor of 5139,6957 By Matching Biggest Common Factor Method

Factors of 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1,3,9,571,1713,5139

Factors of 6957

List of positive integer factors of 6957 that divides 6957 without a remainder.

1,3,9,773,2319,6957

Greatest Common Factor

We found the factors 5139,6957 . The biggest common factor number is the GCF number.
So the greatest common factor 5139,6957 is 9.

Lets's calculate LCM of 572,108

2 572, 108
2 286, 54
143, 27

∴ So the LCM of the given numbers is 2 x 2 x 143 x 27 = 15444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/15444

Therefore, the GCF of Fractions 5139/572,6957/108 is 9/15444

Least Common Multiple of 572,108 with GCF Formula

Least Common Multiple of 572,108 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 572,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,108) = 4

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

GCF(572,108) x common factors =4 x 1 = 4

LCM(572,108) = ( 572 × 108 ) / 4

LCM(572,108) = 61776 / 4

LCM(572,108) = 15444


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 5139/572, 6957/108

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 5139/572, 6957/108?

Answer: GCF of Numerators as per given numbers 5139/572, 6957/108 is

GCF of Numerators i.e. for 5139,6957 is 9

LCM of denominators i.e. for 572,108 is 15444.

Thus, GCF of Fractions is 9/15444.Finally, GCF of Fractions for 5139/572, 6957/108 is 9/15444.