Greatest Common Factor of 332/657, 5931/9696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 332/657, 5931/9696

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 332/657,5931/9696

Given fractions are 332/657,5931/9696

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 332,5931

Greatest Common Factor of Numerators i.e. GCF of 332,5931 is 1 .

LCM of Denominators means LCM of 657,9696 as per the given fractions.

LCM of 657,9696 is 2123424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 332,5931

GCF of Fractions 332/657,5931/9696 is 1/2123424

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

Greatest Common Factor of 332,5931 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,5931 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 5931

List of positive integer factors of 5931 that divides 5931 without a remainder.

1,3,9,659,1977,5931

Greatest Common Factor

We found the factors 332,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 332,5931 is 1.

Lets's calculate LCM of 657,9696

3 657, 9696
219, 3232

∴ So the LCM of the given numbers is 3 x 219 x 3232 = 2123424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2123424

Therefore, the GCF of Fractions 332/657,5931/9696 is 1/2123424

Least Common Multiple of 657,9696 with GCF Formula

Least Common Multiple of 657,9696 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 657,9696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,9696) = 3

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

GCF(657,9696) x common factors =3 x 1 = 3

LCM(657,9696) = ( 657 × 9696 ) / 3

LCM(657,9696) = 6370272 / 3

LCM(657,9696) = 2123424


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 332/657, 5931/9696

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 332/657, 5931/9696?

Answer: GCF of Numerators as per given numbers 332/657, 5931/9696 is

GCF of Numerators i.e. for 332,5931 is 1

LCM of denominators i.e. for 657,9696 is 2123424.

Thus, GCF of Fractions is 1/2123424.Finally, GCF of Fractions for 332/657, 5931/9696 is 1/2123424.