Greatest Common Factor of 243/540, 1977/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/540, 1977/882

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 243/540,1977/882

Given fractions are 243/540,1977/882

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 243,1977

Greatest Common Factor of Numerators i.e. GCF of 243,1977 is 3 .

LCM of Denominators means LCM of 540,882 as per the given fractions.

LCM of 540,882 is 26460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,1977

GCF of Fractions 243/540,1977/882 is 3/26460

3 243, 1977
81, 659

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

Greatest Common Factor of 243,1977 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,1977 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Greatest Common Factor

We found the factors 243,1977 . The biggest common factor number is the GCF number.
So the greatest common factor 243,1977 is 3.

Lets's calculate LCM of 540,882

2 540, 882
3 270, 441
3 90, 147
30, 49

∴ So the LCM of the given numbers is 2 x 3 x 3 x 30 x 49 = 26460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26460

Therefore, the GCF of Fractions 243/540,1977/882 is 3/26460

Least Common Multiple of 540,882 with GCF Formula

Least Common Multiple of 540,882 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 540,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,882) = 18

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

GCF(540,882) x common factors =18 x 1 = 18

LCM(540,882) = ( 540 × 882 ) / 18

LCM(540,882) = 476280 / 18

LCM(540,882) = 26460


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 243/540, 1977/882

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 243/540, 1977/882?

Answer: GCF of Numerators as per given numbers 243/540, 1977/882 is

GCF of Numerators i.e. for 243,1977 is 3

LCM of denominators i.e. for 540,882 is 26460.

Thus, GCF of Fractions is 3/26460.Finally, GCF of Fractions for 243/540, 1977/882 is 3/26460.