Greatest Common Factor of 5436/971, 3132/7767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5436/971, 3132/7767

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 5436/971,3132/7767

Given fractions are 5436/971,3132/7767

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 5436,3132

Greatest Common Factor of Numerators i.e. GCF of 5436,3132 is 36 .

LCM of Denominators means LCM of 971,7767 as per the given fractions.

LCM of 971,7767 is 7541757 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5436,3132

GCF of Fractions 5436/971,3132/7767 is 36/7541757

2 5436, 3132
2 2718, 1566
3 1359, 783
3 453, 261
151, 87

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 5436,3132 By Matching Biggest Common Factor Method

Greatest Common Factor of 5436,3132 By Matching Biggest Common Factor Method

Factors of 5436

List of positive integer factors of 5436 that divides 5436 without a remainder.

1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132

Greatest Common Factor

We found the factors 5436,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 5436,3132 is 36.

Lets's calculate LCM of 971,7767

Given numbers has no common factors except 1. So, there LCM is their product i.e 7541757

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/7541757

Therefore, the GCF of Fractions 5436/971,3132/7767 is 36/7541757

Least Common Multiple of 971,7767 with GCF Formula

Least Common Multiple of 971,7767 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 971,7767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,7767) = 1

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

GCF(971,7767) x common factors =1 x 1 = 1

LCM(971,7767) = ( 971 × 7767 ) / 1

LCM(971,7767) = 7541757 / 1

LCM(971,7767) = 7541757


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 5436/971, 3132/7767

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 5436/971, 3132/7767?

Answer: GCF of Numerators as per given numbers 5436/971, 3132/7767 is

GCF of Numerators i.e. for 5436,3132 is 36

LCM of denominators i.e. for 971,7767 is 7541757.

Thus, GCF of Fractions is 36/7541757.Finally, GCF of Fractions for 5436/971, 3132/7767 is 36/7541757.