Greatest Common Factor of 7131/20, 5601/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7131/20, 5601/922

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 7131/20,5601/922

Given fractions are 7131/20,5601/922

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 7131,5601

Greatest Common Factor of Numerators i.e. GCF of 7131,5601 is 3 .

LCM of Denominators means LCM of 20,922 as per the given fractions.

LCM of 20,922 is 9220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7131,5601

GCF of Fractions 7131/20,5601/922 is 3/9220

3 7131, 5601
2377, 1867

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

Greatest Common Factor of 7131,5601 By Matching Biggest Common Factor Method

Greatest Common Factor of 7131,5601 By Matching Biggest Common Factor Method

Factors of 7131

List of positive integer factors of 7131 that divides 7131 without a remainder.

1,3,2377,7131

Factors of 5601

List of positive integer factors of 5601 that divides 5601 without a remainder.

1,3,1867,5601

Greatest Common Factor

We found the factors 7131,5601 . The biggest common factor number is the GCF number.
So the greatest common factor 7131,5601 is 3.

Lets's calculate LCM of 20,922

2 20, 922
10, 461

∴ So the LCM of the given numbers is 2 x 10 x 461 = 9220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9220

Therefore, the GCF of Fractions 7131/20,5601/922 is 3/9220

Least Common Multiple of 20,922 with GCF Formula

Least Common Multiple of 20,922 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 20,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,922) = 2

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

GCF(20,922) x common factors =2 x 1 = 2

LCM(20,922) = ( 20 × 922 ) / 2

LCM(20,922) = 18440 / 2

LCM(20,922) = 9220


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 7131/20, 5601/922

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 7131/20, 5601/922?

Answer: GCF of Numerators as per given numbers 7131/20, 5601/922 is

GCF of Numerators i.e. for 7131,5601 is 3

LCM of denominators i.e. for 20,922 is 9220.

Thus, GCF of Fractions is 3/9220.Finally, GCF of Fractions for 7131/20, 5601/922 is 3/9220.