Greatest Common Factor of 2337/711, 2938/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2337/711, 2938/674

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 2337/711,2938/674

Given fractions are 2337/711,2938/674

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 2337,2938

Greatest Common Factor of Numerators i.e. GCF of 2337,2938 is 1 .

LCM of Denominators means LCM of 711,674 as per the given fractions.

LCM of 711,674 is 479214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2337,2938

GCF of Fractions 2337/711,2938/674 is 1/479214

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

Greatest Common Factor of 2337,2938 By Matching Biggest Common Factor Method

Greatest Common Factor of 2337,2938 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 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1,2,13,26,113,226,1469,2938

Greatest Common Factor

We found the factors 2337,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 2337,2938 is 1.

Lets's calculate LCM of 711,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 479214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479214

Therefore, the GCF of Fractions 2337/711,2938/674 is 1/479214

Least Common Multiple of 711,674 with GCF Formula

Least Common Multiple of 711,674 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 711,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,674) = 1

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

GCF(711,674) x common factors =1 x 1 = 1

LCM(711,674) = ( 711 × 674 ) / 1

LCM(711,674) = 479214 / 1

LCM(711,674) = 479214


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 2337/711, 2938/674

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 2337/711, 2938/674?

Answer: GCF of Numerators as per given numbers 2337/711, 2938/674 is

GCF of Numerators i.e. for 2337,2938 is 1

LCM of denominators i.e. for 711,674 is 479214.

Thus, GCF of Fractions is 1/479214.Finally, GCF of Fractions for 2337/711, 2938/674 is 1/479214.