Greatest Common Factor of 902/672, 2337/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 902/672, 2337/539

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 902/672,2337/539

Given fractions are 902/672,2337/539

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 902,2337

Greatest Common Factor of Numerators i.e. GCF of 902,2337 is 41 .

LCM of Denominators means LCM of 672,539 as per the given fractions.

LCM of 672,539 is 51744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 902,2337

GCF of Fractions 902/672,2337/539 is 41/51744

41 902, 2337
22, 57

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 902,2337 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,2337 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 2337

List of positive integer factors of 2337 that divides 2337 without a remainder.

1,3,19,41,57,123,779,2337

Greatest Common Factor

We found the factors 902,2337 . The biggest common factor number is the GCF number.
So the greatest common factor 902,2337 is 41.

Lets's calculate LCM of 672,539

7 672, 539
96, 77

∴ So the LCM of the given numbers is 7 x 96 x 77 = 51744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/51744

Therefore, the GCF of Fractions 902/672,2337/539 is 41/51744

Least Common Multiple of 672,539 with GCF Formula

Least Common Multiple of 672,539 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 672,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,539) = 7

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

GCF(672,539) x common factors =7 x 1 = 7

LCM(672,539) = ( 672 × 539 ) / 7

LCM(672,539) = 362208 / 7

LCM(672,539) = 51744


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 902/672, 2337/539

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 902/672, 2337/539?

Answer: GCF of Numerators as per given numbers 902/672, 2337/539 is

GCF of Numerators i.e. for 902,2337 is 41

LCM of denominators i.e. for 672,539 is 51744.

Thus, GCF of Fractions is 41/51744.Finally, GCF of Fractions for 902/672, 2337/539 is 41/51744.