Greatest Common Factor of 238/108, 983/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/108, 983/920

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 238/108,983/920

Given fractions are 238/108,983/920

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 238,983

Greatest Common Factor of Numerators i.e. GCF of 238,983 is 1 .

LCM of Denominators means LCM of 108,920 as per the given fractions.

LCM of 108,920 is 24840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,983

GCF of Fractions 238/108,983/920 is 1/24840

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

Greatest Common Factor of 238,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,983 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 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 238,983 . The biggest common factor number is the GCF number.
So the greatest common factor 238,983 is 1.

Lets's calculate LCM of 108,920

2 108, 920
2 54, 460
27, 230

∴ So the LCM of the given numbers is 2 x 2 x 27 x 230 = 24840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24840

Therefore, the GCF of Fractions 238/108,983/920 is 1/24840

Least Common Multiple of 108,920 with GCF Formula

Least Common Multiple of 108,920 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 108,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,920) = 4

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

GCF(108,920) x common factors =4 x 1 = 4

LCM(108,920) = ( 108 × 920 ) / 4

LCM(108,920) = 99360 / 4

LCM(108,920) = 24840


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 238/108, 983/920

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 238/108, 983/920?

Answer: GCF of Numerators as per given numbers 238/108, 983/920 is

GCF of Numerators i.e. for 238,983 is 1

LCM of denominators i.e. for 108,920 is 24840.

Thus, GCF of Fractions is 1/24840.Finally, GCF of Fractions for 238/108, 983/920 is 1/24840.