Greatest Common Factor of 2759/372, 9021/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2759/372, 9021/537

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 2759/372,9021/537

Given fractions are 2759/372,9021/537

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 2759,9021

Greatest Common Factor of Numerators i.e. GCF of 2759,9021 is 31 .

LCM of Denominators means LCM of 372,537 as per the given fractions.

LCM of 372,537 is 66588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2759,9021

GCF of Fractions 2759/372,9021/537 is 31/66588

31 2759, 9021
89, 291

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 2759,9021 By Matching Biggest Common Factor Method

Greatest Common Factor of 2759,9021 By Matching Biggest Common Factor Method

Factors of 2759

List of positive integer factors of 2759 that divides 2759 without a remainder.

1,31,89,2759

Factors of 9021

List of positive integer factors of 9021 that divides 9021 without a remainder.

1,3,31,93,97,291,3007,9021

Greatest Common Factor

We found the factors 2759,9021 . The biggest common factor number is the GCF number.
So the greatest common factor 2759,9021 is 31.

Lets's calculate LCM of 372,537

3 372, 537
124, 179

∴ So the LCM of the given numbers is 3 x 124 x 179 = 66588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/66588

Therefore, the GCF of Fractions 2759/372,9021/537 is 31/66588

Least Common Multiple of 372,537 with GCF Formula

Least Common Multiple of 372,537 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 372,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,537) = 3

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

GCF(372,537) x common factors =3 x 1 = 3

LCM(372,537) = ( 372 × 537 ) / 3

LCM(372,537) = 199764 / 3

LCM(372,537) = 66588


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 2759/372, 9021/537

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 2759/372, 9021/537?

Answer: GCF of Numerators as per given numbers 2759/372, 9021/537 is

GCF of Numerators i.e. for 2759,9021 is 31

LCM of denominators i.e. for 372,537 is 66588.

Thus, GCF of Fractions is 31/66588.Finally, GCF of Fractions for 2759/372, 9021/537 is 31/66588.