Greatest Common Factor of 238/971, 5740/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/971, 5740/191

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 238/971,5740/191

Given fractions are 238/971,5740/191

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 238,5740

Greatest Common Factor of Numerators i.e. GCF of 238,5740 is 14 .

LCM of Denominators means LCM of 971,191 as per the given fractions.

LCM of 971,191 is 185461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,5740

GCF of Fractions 238/971,5740/191 is 14/185461

2 238, 5740
7 119, 2870
17, 410

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 238,5740 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,5740 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740

Greatest Common Factor

We found the factors 238,5740 . The biggest common factor number is the GCF number.
So the greatest common factor 238,5740 is 14.

Lets's calculate LCM of 971,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 185461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/185461

Therefore, the GCF of Fractions 238/971,5740/191 is 14/185461

Least Common Multiple of 971,191 with GCF Formula

Least Common Multiple of 971,191 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 971,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,191) = 1

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

GCF(971,191) x common factors =1 x 1 = 1

LCM(971,191) = ( 971 × 191 ) / 1

LCM(971,191) = 185461 / 1

LCM(971,191) = 185461


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 238/971, 5740/191

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 238/971, 5740/191?

Answer: GCF of Numerators as per given numbers 238/971, 5740/191 is

GCF of Numerators i.e. for 238,5740 is 14

LCM of denominators i.e. for 971,191 is 185461.

Thus, GCF of Fractions is 14/185461.Finally, GCF of Fractions for 238/971, 5740/191 is 14/185461.