Greatest Common Factor of 6747/418, 5073/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6747/418, 5073/108

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 6747/418,5073/108

Given fractions are 6747/418,5073/108

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 6747,5073

Greatest Common Factor of Numerators i.e. GCF of 6747,5073 is 3 .

LCM of Denominators means LCM of 418,108 as per the given fractions.

LCM of 418,108 is 22572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6747,5073

GCF of Fractions 6747/418,5073/108 is 3/22572

3 6747, 5073
2249, 1691

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

Greatest Common Factor of 6747,5073 By Matching Biggest Common Factor Method

Greatest Common Factor of 6747,5073 By Matching Biggest Common Factor Method

Factors of 6747

List of positive integer factors of 6747 that divides 6747 without a remainder.

1,3,13,39,173,519,2249,6747

Factors of 5073

List of positive integer factors of 5073 that divides 5073 without a remainder.

1,3,19,57,89,267,1691,5073

Greatest Common Factor

We found the factors 6747,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 6747,5073 is 3.

Lets's calculate LCM of 418,108

2 418, 108
209, 54

∴ So the LCM of the given numbers is 2 x 209 x 54 = 22572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22572

Therefore, the GCF of Fractions 6747/418,5073/108 is 3/22572

Least Common Multiple of 418,108 with GCF Formula

Least Common Multiple of 418,108 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 418,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,108) = 2

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

GCF(418,108) x common factors =2 x 1 = 2

LCM(418,108) = ( 418 × 108 ) / 2

LCM(418,108) = 45144 / 2

LCM(418,108) = 22572


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 6747/418, 5073/108

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 6747/418, 5073/108?

Answer: GCF of Numerators as per given numbers 6747/418, 5073/108 is

GCF of Numerators i.e. for 6747,5073 is 3

LCM of denominators i.e. for 418,108 is 22572.

Thus, GCF of Fractions is 3/22572.Finally, GCF of Fractions for 6747/418, 5073/108 is 3/22572.