Greatest Common Factor of 6981/572, 4012/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6981/572, 4012/656

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 6981/572,4012/656

Given fractions are 6981/572,4012/656

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 6981,4012

Greatest Common Factor of Numerators i.e. GCF of 6981,4012 is 1 .

LCM of Denominators means LCM of 572,656 as per the given fractions.

LCM of 572,656 is 93808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6981,4012

GCF of Fractions 6981/572,4012/656 is 1/93808

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

Greatest Common Factor of 6981,4012 By Matching Biggest Common Factor Method

Greatest Common Factor of 6981,4012 By Matching Biggest Common Factor Method

Factors of 6981

List of positive integer factors of 6981 that divides 6981 without a remainder.

1,3,13,39,179,537,2327,6981

Factors of 4012

List of positive integer factors of 4012 that divides 4012 without a remainder.

1,2,4,17,34,59,68,118,236,1003,2006,4012

Greatest Common Factor

We found the factors 6981,4012 . The biggest common factor number is the GCF number.
So the greatest common factor 6981,4012 is 1.

Lets's calculate LCM of 572,656

2 572, 656
2 286, 328
143, 164

∴ So the LCM of the given numbers is 2 x 2 x 143 x 164 = 93808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93808

Therefore, the GCF of Fractions 6981/572,4012/656 is 1/93808

Least Common Multiple of 572,656 with GCF Formula

Least Common Multiple of 572,656 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 572,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,656) = 4

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

GCF(572,656) x common factors =4 x 1 = 4

LCM(572,656) = ( 572 × 656 ) / 4

LCM(572,656) = 375232 / 4

LCM(572,656) = 93808


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 6981/572, 4012/656

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 6981/572, 4012/656?

Answer: GCF of Numerators as per given numbers 6981/572, 4012/656 is

GCF of Numerators i.e. for 6981,4012 is 1

LCM of denominators i.e. for 572,656 is 93808.

Thus, GCF of Fractions is 1/93808.Finally, GCF of Fractions for 6981/572, 4012/656 is 1/93808.