Greatest Common Factor of 6921/45, 5403/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6921/45, 5403/996

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 6921/45,5403/996

Given fractions are 6921/45,5403/996

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 6921,5403

Greatest Common Factor of Numerators i.e. GCF of 6921,5403 is 3 .

LCM of Denominators means LCM of 45,996 as per the given fractions.

LCM of 45,996 is 14940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6921,5403

GCF of Fractions 6921/45,5403/996 is 3/14940

3 6921, 5403
2307, 1801

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

Greatest Common Factor of 6921,5403 By Matching Biggest Common Factor Method

Greatest Common Factor of 6921,5403 By Matching Biggest Common Factor Method

Factors of 6921

List of positive integer factors of 6921 that divides 6921 without a remainder.

1,3,9,769,2307,6921

Factors of 5403

List of positive integer factors of 5403 that divides 5403 without a remainder.

1,3,1801,5403

Greatest Common Factor

We found the factors 6921,5403 . The biggest common factor number is the GCF number.
So the greatest common factor 6921,5403 is 3.

Lets's calculate LCM of 45,996

3 45, 996
15, 332

∴ So the LCM of the given numbers is 3 x 15 x 332 = 14940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14940

Therefore, the GCF of Fractions 6921/45,5403/996 is 3/14940

Least Common Multiple of 45,996 with GCF Formula

Least Common Multiple of 45,996 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 45,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,996) = 3

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

GCF(45,996) x common factors =3 x 1 = 3

LCM(45,996) = ( 45 × 996 ) / 3

LCM(45,996) = 44820 / 3

LCM(45,996) = 14940


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 6921/45, 5403/996

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 6921/45, 5403/996?

Answer: GCF of Numerators as per given numbers 6921/45, 5403/996 is

GCF of Numerators i.e. for 6921,5403 is 3

LCM of denominators i.e. for 45,996 is 14940.

Thus, GCF of Fractions is 3/14940.Finally, GCF of Fractions for 6921/45, 5403/996 is 3/14940.