Greatest Common Factor of 108/269, 371/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 108/269, 371/659

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 108/269,371/659

Given fractions are 108/269,371/659

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 108,371

Greatest Common Factor of Numerators i.e. GCF of 108,371 is 1 .

LCM of Denominators means LCM of 269,659 as per the given fractions.

LCM of 269,659 is 177271 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,371

GCF of Fractions 108/269,371/659 is 1/177271

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

Greatest Common Factor of 108,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,371 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 108,371 . The biggest common factor number is the GCF number.
So the greatest common factor 108,371 is 1.

Lets's calculate LCM of 269,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 177271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177271

Therefore, the GCF of Fractions 108/269,371/659 is 1/177271

Least Common Multiple of 269,659 with GCF Formula

Least Common Multiple of 269,659 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 269,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,659) = 1

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

GCF(269,659) x common factors =1 x 1 = 1

LCM(269,659) = ( 269 × 659 ) / 1

LCM(269,659) = 177271 / 1

LCM(269,659) = 177271


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 108/269, 371/659

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 108/269, 371/659?

Answer: GCF of Numerators as per given numbers 108/269, 371/659 is

GCF of Numerators i.e. for 108,371 is 1

LCM of denominators i.e. for 269,659 is 177271.

Thus, GCF of Fractions is 1/177271.Finally, GCF of Fractions for 108/269, 371/659 is 1/177271.