Greatest Common Factor of 2337/55, 2421/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2337/55, 2421/759

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 2337/55,2421/759

Given fractions are 2337/55,2421/759

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 2337,2421

Greatest Common Factor of Numerators i.e. GCF of 2337,2421 is 3 .

LCM of Denominators means LCM of 55,759 as per the given fractions.

LCM of 55,759 is 3795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2337,2421

GCF of Fractions 2337/55,2421/759 is 3/3795

3 2337, 2421
779, 807

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

Greatest Common Factor of 2337,2421 By Matching Biggest Common Factor Method

Greatest Common Factor of 2337,2421 By Matching Biggest Common Factor Method

Factors of 2337

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

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

Factors of 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1,3,9,269,807,2421

Greatest Common Factor

We found the factors 2337,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 2337,2421 is 3.

Lets's calculate LCM of 55,759

11 55, 759
5, 69

∴ So the LCM of the given numbers is 11 x 5 x 69 = 3795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3795

Therefore, the GCF of Fractions 2337/55,2421/759 is 3/3795

Least Common Multiple of 55,759 with GCF Formula

Least Common Multiple of 55,759 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 55,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,759) = 11

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

GCF(55,759) x common factors =11 x 1 = 11

LCM(55,759) = ( 55 × 759 ) / 11

LCM(55,759) = 41745 / 11

LCM(55,759) = 3795


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 2337/55, 2421/759

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 2337/55, 2421/759?

Answer: GCF of Numerators as per given numbers 2337/55, 2421/759 is

GCF of Numerators i.e. for 2337,2421 is 3

LCM of denominators i.e. for 55,759 is 3795.

Thus, GCF of Fractions is 3/3795.Finally, GCF of Fractions for 2337/55, 2421/759 is 3/3795.