Greatest Common Factor of 5932/12, 7079/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5932/12, 7079/916

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 5932/12,7079/916

Given fractions are 5932/12,7079/916

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 5932,7079

Greatest Common Factor of Numerators i.e. GCF of 5932,7079 is 1 .

LCM of Denominators means LCM of 12,916 as per the given fractions.

LCM of 12,916 is 2748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5932,7079

GCF of Fractions 5932/12,7079/916 is 1/2748

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

Greatest Common Factor of 5932,7079 By Matching Biggest Common Factor Method

Greatest Common Factor of 5932,7079 By Matching Biggest Common Factor Method

Factors of 5932

List of positive integer factors of 5932 that divides 5932 without a remainder.

1,2,4,1483,2966,5932

Factors of 7079

List of positive integer factors of 7079 that divides 7079 without a remainder.

1,7079

Greatest Common Factor

We found the factors 5932,7079 . The biggest common factor number is the GCF number.
So the greatest common factor 5932,7079 is 1.

Lets's calculate LCM of 12,916

2 12, 916
2 6, 458
3, 229

∴ So the LCM of the given numbers is 2 x 2 x 3 x 229 = 2748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2748

Therefore, the GCF of Fractions 5932/12,7079/916 is 1/2748

Least Common Multiple of 12,916 with GCF Formula

Least Common Multiple of 12,916 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 12,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,916) = 4

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

GCF(12,916) x common factors =4 x 1 = 4

LCM(12,916) = ( 12 × 916 ) / 4

LCM(12,916) = 10992 / 4

LCM(12,916) = 2748


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 5932/12, 7079/916

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 5932/12, 7079/916?

Answer: GCF of Numerators as per given numbers 5932/12, 7079/916 is

GCF of Numerators i.e. for 5932,7079 is 1

LCM of denominators i.e. for 12,916 is 2748.

Thus, GCF of Fractions is 1/2748.Finally, GCF of Fractions for 5932/12, 7079/916 is 1/2748.