Greatest Common Factor of 5352/932, 3924/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5352/932, 3924/317

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 5352/932,3924/317

Given fractions are 5352/932,3924/317

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 5352,3924

Greatest Common Factor of Numerators i.e. GCF of 5352,3924 is 12 .

LCM of Denominators means LCM of 932,317 as per the given fractions.

LCM of 932,317 is 295444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5352,3924

GCF of Fractions 5352/932,3924/317 is 12/295444

2 5352, 3924
2 2676, 1962
3 1338, 981
446, 327

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5352,3924 By Matching Biggest Common Factor Method

Greatest Common Factor of 5352,3924 By Matching Biggest Common Factor Method

Factors of 5352

List of positive integer factors of 5352 that divides 5352 without a remainder.

1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352

Factors of 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924

Greatest Common Factor

We found the factors 5352,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,3924 is 12.

Lets's calculate LCM of 932,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 295444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/295444

Therefore, the GCF of Fractions 5352/932,3924/317 is 12/295444

Least Common Multiple of 932,317 with GCF Formula

Least Common Multiple of 932,317 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 932,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,317) = 1

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

GCF(932,317) x common factors =1 x 1 = 1

LCM(932,317) = ( 932 × 317 ) / 1

LCM(932,317) = 295444 / 1

LCM(932,317) = 295444


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 5352/932, 3924/317

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 5352/932, 3924/317?

Answer: GCF of Numerators as per given numbers 5352/932, 3924/317 is

GCF of Numerators i.e. for 5352,3924 is 12

LCM of denominators i.e. for 932,317 is 295444.

Thus, GCF of Fractions is 12/295444.Finally, GCF of Fractions for 5352/932, 3924/317 is 12/295444.