Greatest Common Factor of 238/704, 2538/5122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/704, 2538/5122

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 238/704,2538/5122

Given fractions are 238/704,2538/5122

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 238,2538

Greatest Common Factor of Numerators i.e. GCF of 238,2538 is 2 .

LCM of Denominators means LCM of 704,5122 as per the given fractions.

LCM of 704,5122 is 1802944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,2538

GCF of Fractions 238/704,2538/5122 is 2/1802944

2 238, 2538
119, 1269

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

Greatest Common Factor of 238,2538 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,2538 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 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538

Greatest Common Factor

We found the factors 238,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 238,2538 is 2.

Lets's calculate LCM of 704,5122

2 704, 5122
352, 2561

∴ So the LCM of the given numbers is 2 x 352 x 2561 = 1802944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1802944

Therefore, the GCF of Fractions 238/704,2538/5122 is 2/1802944

Least Common Multiple of 704,5122 with GCF Formula

Least Common Multiple of 704,5122 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 704,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,5122) = 2

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

GCF(704,5122) x common factors =2 x 1 = 2

LCM(704,5122) = ( 704 × 5122 ) / 2

LCM(704,5122) = 3605888 / 2

LCM(704,5122) = 1802944


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 238/704, 2538/5122

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 238/704, 2538/5122?

Answer: GCF of Numerators as per given numbers 238/704, 2538/5122 is

GCF of Numerators i.e. for 238,2538 is 2

LCM of denominators i.e. for 704,5122 is 1802944.

Thus, GCF of Fractions is 2/1802944.Finally, GCF of Fractions for 238/704, 2538/5122 is 2/1802944.