Greatest Common Factor of 4644/71, 7551/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4644/71, 7551/696

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 4644/71,7551/696

Given fractions are 4644/71,7551/696

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 4644,7551

Greatest Common Factor of Numerators i.e. GCF of 4644,7551 is 9 .

LCM of Denominators means LCM of 71,696 as per the given fractions.

LCM of 71,696 is 49416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4644,7551

GCF of Fractions 4644/71,7551/696 is 9/49416

3 4644, 7551
3 1548, 2517
516, 839

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4644,7551 By Matching Biggest Common Factor Method

Greatest Common Factor of 4644,7551 By Matching Biggest Common Factor Method

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644

Factors of 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1,3,9,839,2517,7551

Greatest Common Factor

We found the factors 4644,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 4644,7551 is 9.

Lets's calculate LCM of 71,696

Given numbers has no common factors except 1. So, there LCM is their product i.e 49416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/49416

Therefore, the GCF of Fractions 4644/71,7551/696 is 9/49416

Least Common Multiple of 71,696 with GCF Formula

Least Common Multiple of 71,696 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 71,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,696) = 1

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

GCF(71,696) x common factors =1 x 1 = 1

LCM(71,696) = ( 71 × 696 ) / 1

LCM(71,696) = 49416 / 1

LCM(71,696) = 49416


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 4644/71, 7551/696

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 4644/71, 7551/696?

Answer: GCF of Numerators as per given numbers 4644/71, 7551/696 is

GCF of Numerators i.e. for 4644,7551 is 9

LCM of denominators i.e. for 71,696 is 49416.

Thus, GCF of Fractions is 9/49416.Finally, GCF of Fractions for 4644/71, 7551/696 is 9/49416.