Greatest Common Factor of 8481/264, 7290/5422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8481/264, 7290/5422

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 8481/264,7290/5422

Given fractions are 8481/264,7290/5422

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 8481,7290

Greatest Common Factor of Numerators i.e. GCF of 8481,7290 is 3 .

LCM of Denominators means LCM of 264,5422 as per the given fractions.

LCM of 264,5422 is 715704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8481,7290

GCF of Fractions 8481/264,7290/5422 is 3/715704

3 8481, 7290
2827, 2430

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

Greatest Common Factor of 8481,7290 By Matching Biggest Common Factor Method

Greatest Common Factor of 8481,7290 By Matching Biggest Common Factor Method

Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1,3,11,33,257,771,2827,8481

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Greatest Common Factor

We found the factors 8481,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 8481,7290 is 3.

Lets's calculate LCM of 264,5422

2 264, 5422
132, 2711

∴ So the LCM of the given numbers is 2 x 132 x 2711 = 715704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/715704

Therefore, the GCF of Fractions 8481/264,7290/5422 is 3/715704

Least Common Multiple of 264,5422 with GCF Formula

Least Common Multiple of 264,5422 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 264,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,5422) = 2

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

GCF(264,5422) x common factors =2 x 1 = 2

LCM(264,5422) = ( 264 × 5422 ) / 2

LCM(264,5422) = 1431408 / 2

LCM(264,5422) = 715704


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 8481/264, 7290/5422

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 8481/264, 7290/5422?

Answer: GCF of Numerators as per given numbers 8481/264, 7290/5422 is

GCF of Numerators i.e. for 8481,7290 is 3

LCM of denominators i.e. for 264,5422 is 715704.

Thus, GCF of Fractions is 3/715704.Finally, GCF of Fractions for 8481/264, 7290/5422 is 3/715704.