Greatest Common Factor of 27/273, 277/208, 539/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/273, 277/208, 539/910

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 27/273,277/208,539/910

Given fractions are 27/273,277/208,539/910

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 27,277,539

Greatest Common Factor of Numerators i.e. GCF of 27,277,539 is 1 .

LCM of Denominators means LCM of 273,208,910 as per the given fractions.

LCM of 273,208,910 is 21840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,277,539

GCF of Fractions 27/273,277/208,539/910 is 1/21840

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 27,277,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,277,539 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 27,277,539 . The biggest common factor number is the GCF number.
So the greatest common factor 27,277,539 is 1.

Lets's calculate LCM of 273,208,910

2 273, 208, 910
7 273, 104, 455
13 39, 104, 65
3, 8, 5

∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 8 x 5 = 21840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21840

Therefore, the GCF of Fractions 27/273,277/208,539/910 is 1/21840

Least Common Multiple of 273,208,910 with GCF Formula

Least Common Multiple of 273,208,910 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 273,208,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,208,910) = 13

common factors(in case of two or more numbers have common factors) = 182

GCF(273,208,910) x common factors =13 x 182 = 2366

LCM(273,208,910) = ( 273 × 208 × 910 ) / 2366

LCM(273,208,910) = 51673440 / 2366

LCM(273,208,910) = 21840


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 27/273, 277/208, 539/910

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 27/273, 277/208, 539/910?

Answer: GCF of Numerators as per given numbers 27/273, 277/208, 539/910 is

GCF of Numerators i.e. for 27,277,539 is 1

LCM of denominators i.e. for 273,208,910 is 21840.

Thus, GCF of Fractions is 1/21840.Finally, GCF of Fractions for 27/273, 277/208, 539/910 is 1/21840.