Greatest Common Factor of 8976/47, 2972/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8976/47, 2972/365

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 8976/47,2972/365

Given fractions are 8976/47,2972/365

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 8976,2972

Greatest Common Factor of Numerators i.e. GCF of 8976,2972 is 4 .

LCM of Denominators means LCM of 47,365 as per the given fractions.

LCM of 47,365 is 17155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8976,2972

GCF of Fractions 8976/47,2972/365 is 4/17155

2 8976, 2972
2 4488, 1486
2244, 743

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8976,2972 By Matching Biggest Common Factor Method

Greatest Common Factor of 8976,2972 By Matching Biggest Common Factor Method

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1,2,4,743,1486,2972

Greatest Common Factor

We found the factors 8976,2972 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,2972 is 4.

Lets's calculate LCM of 47,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 17155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17155

Therefore, the GCF of Fractions 8976/47,2972/365 is 4/17155

Least Common Multiple of 47,365 with GCF Formula

Least Common Multiple of 47,365 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 47,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,365) = 1

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

GCF(47,365) x common factors =1 x 1 = 1

LCM(47,365) = ( 47 × 365 ) / 1

LCM(47,365) = 17155 / 1

LCM(47,365) = 17155


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 8976/47, 2972/365

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 8976/47, 2972/365?

Answer: GCF of Numerators as per given numbers 8976/47, 2972/365 is

GCF of Numerators i.e. for 8976,2972 is 4

LCM of denominators i.e. for 47,365 is 17155.

Thus, GCF of Fractions is 4/17155.Finally, GCF of Fractions for 8976/47, 2972/365 is 4/17155.