Greatest Common Factor of 976/71, 7538/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 976/71, 7538/736

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 976/71,7538/736

Given fractions are 976/71,7538/736

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 976,7538

Greatest Common Factor of Numerators i.e. GCF of 976,7538 is 2 .

LCM of Denominators means LCM of 71,736 as per the given fractions.

LCM of 71,736 is 52256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 976,7538

GCF of Fractions 976/71,7538/736 is 2/52256

2 976, 7538
488, 3769

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

Greatest Common Factor of 976,7538 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,7538 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 7538

List of positive integer factors of 7538 that divides 7538 without a remainder.

1,2,3769,7538

Greatest Common Factor

We found the factors 976,7538 . The biggest common factor number is the GCF number.
So the greatest common factor 976,7538 is 2.

Lets's calculate LCM of 71,736

Given numbers has no common factors except 1. So, there LCM is their product i.e 52256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52256

Therefore, the GCF of Fractions 976/71,7538/736 is 2/52256

Least Common Multiple of 71,736 with GCF Formula

Least Common Multiple of 71,736 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 71,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,736) = 1

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

GCF(71,736) x common factors =1 x 1 = 1

LCM(71,736) = ( 71 × 736 ) / 1

LCM(71,736) = 52256 / 1

LCM(71,736) = 52256


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 976/71, 7538/736

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 976/71, 7538/736?

Answer: GCF of Numerators as per given numbers 976/71, 7538/736 is

GCF of Numerators i.e. for 976,7538 is 2

LCM of denominators i.e. for 71,736 is 52256.

Thus, GCF of Fractions is 2/52256.Finally, GCF of Fractions for 976/71, 7538/736 is 2/52256.