Greatest Common Factor of 79/131, 628/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/131, 628/624

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 79/131,628/624

Given fractions are 79/131,628/624

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 79,628

Greatest Common Factor of Numerators i.e. GCF of 79,628 is 1 .

LCM of Denominators means LCM of 131,624 as per the given fractions.

LCM of 131,624 is 81744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,628

GCF of Fractions 79/131,628/624 is 1/81744

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

Greatest Common Factor of 79,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,628 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 79,628 . The biggest common factor number is the GCF number.
So the greatest common factor 79,628 is 1.

Lets's calculate LCM of 131,624

Given numbers has no common factors except 1. So, there LCM is their product i.e 81744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81744

Therefore, the GCF of Fractions 79/131,628/624 is 1/81744

Least Common Multiple of 131,624 with GCF Formula

Least Common Multiple of 131,624 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 131,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,624) = 1

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

GCF(131,624) x common factors =1 x 1 = 1

LCM(131,624) = ( 131 × 624 ) / 1

LCM(131,624) = 81744 / 1

LCM(131,624) = 81744


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 79/131, 628/624

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 79/131, 628/624?

Answer: GCF of Numerators as per given numbers 79/131, 628/624 is

GCF of Numerators i.e. for 79,628 is 1

LCM of denominators i.e. for 131,624 is 81744.

Thus, GCF of Fractions is 1/81744.Finally, GCF of Fractions for 79/131, 628/624 is 1/81744.