Greatest Common Factor of 8937/71, 4656/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8937/71, 4656/792

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 8937/71,4656/792

Given fractions are 8937/71,4656/792

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 8937,4656

Greatest Common Factor of Numerators i.e. GCF of 8937,4656 is 3 .

LCM of Denominators means LCM of 71,792 as per the given fractions.

LCM of 71,792 is 56232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8937,4656

GCF of Fractions 8937/71,4656/792 is 3/56232

3 8937, 4656
2979, 1552

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8937,4656 By Matching Biggest Common Factor Method

Greatest Common Factor of 8937,4656 By Matching Biggest Common Factor Method

Factors of 8937

List of positive integer factors of 8937 that divides 8937 without a remainder.

1,3,9,27,331,993,2979,8937

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Greatest Common Factor

We found the factors 8937,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 8937,4656 is 3.

Lets's calculate LCM of 71,792

Given numbers has no common factors except 1. So, there LCM is their product i.e 56232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/56232

Therefore, the GCF of Fractions 8937/71,4656/792 is 3/56232

Least Common Multiple of 71,792 with GCF Formula

Least Common Multiple of 71,792 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 71,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,792) = 1

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

GCF(71,792) x common factors =1 x 1 = 1

LCM(71,792) = ( 71 × 792 ) / 1

LCM(71,792) = 56232 / 1

LCM(71,792) = 56232


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 8937/71, 4656/792

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 8937/71, 4656/792?

Answer: GCF of Numerators as per given numbers 8937/71, 4656/792 is

GCF of Numerators i.e. for 8937,4656 is 3

LCM of denominators i.e. for 71,792 is 56232.

Thus, GCF of Fractions is 3/56232.Finally, GCF of Fractions for 8937/71, 4656/792 is 3/56232.