Greatest Common Factor of 7080/93, 9974/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7080/93, 9974/531

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 7080/93,9974/531

Given fractions are 7080/93,9974/531

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 7080,9974

Greatest Common Factor of Numerators i.e. GCF of 7080,9974 is 2 .

LCM of Denominators means LCM of 93,531 as per the given fractions.

LCM of 93,531 is 16461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7080,9974

GCF of Fractions 7080/93,9974/531 is 2/16461

2 7080, 9974
3540, 4987

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7080,9974 By Matching Biggest Common Factor Method

Greatest Common Factor of 7080,9974 By Matching Biggest Common Factor Method

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1,2,4987,9974

Greatest Common Factor

We found the factors 7080,9974 . The biggest common factor number is the GCF number.
So the greatest common factor 7080,9974 is 2.

Lets's calculate LCM of 93,531

3 93, 531
31, 177

∴ So the LCM of the given numbers is 3 x 31 x 177 = 16461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16461

Therefore, the GCF of Fractions 7080/93,9974/531 is 2/16461

Least Common Multiple of 93,531 with GCF Formula

Least Common Multiple of 93,531 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 93,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,531) = 3

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

GCF(93,531) x common factors =3 x 1 = 3

LCM(93,531) = ( 93 × 531 ) / 3

LCM(93,531) = 49383 / 3

LCM(93,531) = 16461


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 7080/93, 9974/531

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 7080/93, 9974/531?

Answer: GCF of Numerators as per given numbers 7080/93, 9974/531 is

GCF of Numerators i.e. for 7080,9974 is 2

LCM of denominators i.e. for 93,531 is 16461.

Thus, GCF of Fractions is 2/16461.Finally, GCF of Fractions for 7080/93, 9974/531 is 2/16461.