Greatest Common Factor of 301/932, 8733/5256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 301/932, 8733/5256

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 301/932,8733/5256

Given fractions are 301/932,8733/5256

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 301,8733

Greatest Common Factor of Numerators i.e. GCF of 301,8733 is 1 .

LCM of Denominators means LCM of 932,5256 as per the given fractions.

LCM of 932,5256 is 1224648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 301,8733

GCF of Fractions 301/932,8733/5256 is 1/1224648

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

Greatest Common Factor of 301,8733 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,8733 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 8733

List of positive integer factors of 8733 that divides 8733 without a remainder.

1,3,41,71,123,213,2911,8733

Greatest Common Factor

We found the factors 301,8733 . The biggest common factor number is the GCF number.
So the greatest common factor 301,8733 is 1.

Lets's calculate LCM of 932,5256

2 932, 5256
2 466, 2628
233, 1314

∴ So the LCM of the given numbers is 2 x 2 x 233 x 1314 = 1224648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1224648

Therefore, the GCF of Fractions 301/932,8733/5256 is 1/1224648

Least Common Multiple of 932,5256 with GCF Formula

Least Common Multiple of 932,5256 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 932,5256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,5256) = 4

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

GCF(932,5256) x common factors =4 x 1 = 4

LCM(932,5256) = ( 932 × 5256 ) / 4

LCM(932,5256) = 4898592 / 4

LCM(932,5256) = 1224648


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 301/932, 8733/5256

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 301/932, 8733/5256?

Answer: GCF of Numerators as per given numbers 301/932, 8733/5256 is

GCF of Numerators i.e. for 301,8733 is 1

LCM of denominators i.e. for 932,5256 is 1224648.

Thus, GCF of Fractions is 1/1224648.Finally, GCF of Fractions for 301/932, 8733/5256 is 1/1224648.