Greatest Common Factor of 7413/537, 6121/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7413/537, 6121/504

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 7413/537,6121/504

Given fractions are 7413/537,6121/504

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 7413,6121

Greatest Common Factor of Numerators i.e. GCF of 7413,6121 is 1 .

LCM of Denominators means LCM of 537,504 as per the given fractions.

LCM of 537,504 is 90216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7413,6121

GCF of Fractions 7413/537,6121/504 is 1/90216

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7413,6121 By Matching Biggest Common Factor Method

Greatest Common Factor of 7413,6121 By Matching Biggest Common Factor Method

Factors of 7413

List of positive integer factors of 7413 that divides 7413 without a remainder.

1,3,7,21,353,1059,2471,7413

Factors of 6121

List of positive integer factors of 6121 that divides 6121 without a remainder.

1,6121

Greatest Common Factor

We found the factors 7413,6121 . The biggest common factor number is the GCF number.
So the greatest common factor 7413,6121 is 1.

Lets's calculate LCM of 537,504

3 537, 504
179, 168

∴ So the LCM of the given numbers is 3 x 179 x 168 = 90216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90216

Therefore, the GCF of Fractions 7413/537,6121/504 is 1/90216

Least Common Multiple of 537,504 with GCF Formula

Least Common Multiple of 537,504 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 537,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,504) = 3

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

GCF(537,504) x common factors =3 x 1 = 3

LCM(537,504) = ( 537 × 504 ) / 3

LCM(537,504) = 270648 / 3

LCM(537,504) = 90216


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 7413/537, 6121/504

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 7413/537, 6121/504?

Answer: GCF of Numerators as per given numbers 7413/537, 6121/504 is

GCF of Numerators i.e. for 7413,6121 is 1

LCM of denominators i.e. for 537,504 is 90216.

Thus, GCF of Fractions is 1/90216.Finally, GCF of Fractions for 7413/537, 6121/504 is 1/90216.