Greatest Common Factor of 2715/54, 1539/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2715/54, 1539/280

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 2715/54,1539/280

Given fractions are 2715/54,1539/280

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 2715,1539

Greatest Common Factor of Numerators i.e. GCF of 2715,1539 is 3 .

LCM of Denominators means LCM of 54,280 as per the given fractions.

LCM of 54,280 is 7560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2715,1539

GCF of Fractions 2715/54,1539/280 is 3/7560

3 2715, 1539
905, 513

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

Greatest Common Factor of 2715,1539 By Matching Biggest Common Factor Method

Greatest Common Factor of 2715,1539 By Matching Biggest Common Factor Method

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1,3,5,15,181,543,905,2715

Factors of 1539

List of positive integer factors of 1539 that divides 1539 without a remainder.

1,3,9,19,27,57,81,171,513,1539

Greatest Common Factor

We found the factors 2715,1539 . The biggest common factor number is the GCF number.
So the greatest common factor 2715,1539 is 3.

Lets's calculate LCM of 54,280

2 54, 280
27, 140

∴ So the LCM of the given numbers is 2 x 27 x 140 = 7560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7560

Therefore, the GCF of Fractions 2715/54,1539/280 is 3/7560

Least Common Multiple of 54,280 with GCF Formula

Least Common Multiple of 54,280 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 54,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,280) = 2

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

GCF(54,280) x common factors =2 x 1 = 2

LCM(54,280) = ( 54 × 280 ) / 2

LCM(54,280) = 15120 / 2

LCM(54,280) = 7560


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 2715/54, 1539/280

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 2715/54, 1539/280?

Answer: GCF of Numerators as per given numbers 2715/54, 1539/280 is

GCF of Numerators i.e. for 2715,1539 is 3

LCM of denominators i.e. for 54,280 is 7560.

Thus, GCF of Fractions is 3/7560.Finally, GCF of Fractions for 2715/54, 1539/280 is 3/7560.