Greatest Common Factor of 5238/267, 6922/2427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5238/267, 6922/2427

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 5238/267,6922/2427

Given fractions are 5238/267,6922/2427

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 5238,6922

Greatest Common Factor of Numerators i.e. GCF of 5238,6922 is 2 .

LCM of Denominators means LCM of 267,2427 as per the given fractions.

LCM of 267,2427 is 216003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5238,6922

GCF of Fractions 5238/267,6922/2427 is 2/216003

2 5238, 6922
2619, 3461

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

Greatest Common Factor of 5238,6922 By Matching Biggest Common Factor Method

Greatest Common Factor of 5238,6922 By Matching Biggest Common Factor Method

Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238

Factors of 6922

List of positive integer factors of 6922 that divides 6922 without a remainder.

1,2,3461,6922

Greatest Common Factor

We found the factors 5238,6922 . The biggest common factor number is the GCF number.
So the greatest common factor 5238,6922 is 2.

Lets's calculate LCM of 267,2427

3 267, 2427
89, 809

∴ So the LCM of the given numbers is 3 x 89 x 809 = 216003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216003

Therefore, the GCF of Fractions 5238/267,6922/2427 is 2/216003

Least Common Multiple of 267,2427 with GCF Formula

Least Common Multiple of 267,2427 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 267,2427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,2427) = 3

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

GCF(267,2427) x common factors =3 x 1 = 3

LCM(267,2427) = ( 267 × 2427 ) / 3

LCM(267,2427) = 648009 / 3

LCM(267,2427) = 216003


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 5238/267, 6922/2427

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 5238/267, 6922/2427?

Answer: GCF of Numerators as per given numbers 5238/267, 6922/2427 is

GCF of Numerators i.e. for 5238,6922 is 2

LCM of denominators i.e. for 267,2427 is 216003.

Thus, GCF of Fractions is 2/216003.Finally, GCF of Fractions for 5238/267, 6922/2427 is 2/216003.