Greatest Common Factor of 9372/619, 6972/7431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9372/619, 6972/7431

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 9372/619,6972/7431

Given fractions are 9372/619,6972/7431

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 9372,6972

Greatest Common Factor of Numerators i.e. GCF of 9372,6972 is 12 .

LCM of Denominators means LCM of 619,7431 as per the given fractions.

LCM of 619,7431 is 4599789 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9372,6972

GCF of Fractions 9372/619,6972/7431 is 12/4599789

2 9372, 6972
2 4686, 3486
3 2343, 1743
781, 581

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 9372,6972 By Matching Biggest Common Factor Method

Greatest Common Factor of 9372,6972 By Matching Biggest Common Factor Method

Factors of 9372

List of positive integer factors of 9372 that divides 9372 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors 9372,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 9372,6972 is 12.

Lets's calculate LCM of 619,7431

Given numbers has no common factors except 1. So, there LCM is their product i.e 4599789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4599789

Therefore, the GCF of Fractions 9372/619,6972/7431 is 12/4599789

Least Common Multiple of 619,7431 with GCF Formula

Least Common Multiple of 619,7431 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 619,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,7431) = 1

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

GCF(619,7431) x common factors =1 x 1 = 1

LCM(619,7431) = ( 619 × 7431 ) / 1

LCM(619,7431) = 4599789 / 1

LCM(619,7431) = 4599789


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 9372/619, 6972/7431

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 9372/619, 6972/7431?

Answer: GCF of Numerators as per given numbers 9372/619, 6972/7431 is

GCF of Numerators i.e. for 9372,6972 is 12

LCM of denominators i.e. for 619,7431 is 4599789.

Thus, GCF of Fractions is 12/4599789.Finally, GCF of Fractions for 9372/619, 6972/7431 is 12/4599789.