Greatest Common Factor of 6971/131, 2660/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6971/131, 2660/317

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 6971/131,2660/317

Given fractions are 6971/131,2660/317

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 6971,2660

Greatest Common Factor of Numerators i.e. GCF of 6971,2660 is 1 .

LCM of Denominators means LCM of 131,317 as per the given fractions.

LCM of 131,317 is 41527 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6971,2660

GCF of Fractions 6971/131,2660/317 is 1/41527

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

Greatest Common Factor of 6971,2660 By Matching Biggest Common Factor Method

Greatest Common Factor of 6971,2660 By Matching Biggest Common Factor Method

Factors of 6971

List of positive integer factors of 6971 that divides 6971 without a remainder.

1,6971

Factors of 2660

List of positive integer factors of 2660 that divides 2660 without a remainder.

1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660

Greatest Common Factor

We found the factors 6971,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 6971,2660 is 1.

Lets's calculate LCM of 131,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 41527

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41527

Therefore, the GCF of Fractions 6971/131,2660/317 is 1/41527

Least Common Multiple of 131,317 with GCF Formula

Least Common Multiple of 131,317 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 131,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,317) = 1

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

GCF(131,317) x common factors =1 x 1 = 1

LCM(131,317) = ( 131 × 317 ) / 1

LCM(131,317) = 41527 / 1

LCM(131,317) = 41527


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 6971/131, 2660/317

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 6971/131, 2660/317?

Answer: GCF of Numerators as per given numbers 6971/131, 2660/317 is

GCF of Numerators i.e. for 6971,2660 is 1

LCM of denominators i.e. for 131,317 is 41527.

Thus, GCF of Fractions is 1/41527.Finally, GCF of Fractions for 6971/131, 2660/317 is 1/41527.