Greatest Common Factor of 540/62, 813/6975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 540/62, 813/6975

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 540/62,813/6975

Given fractions are 540/62,813/6975

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 540,813

Greatest Common Factor of Numerators i.e. GCF of 540,813 is 3 .

LCM of Denominators means LCM of 62,6975 as per the given fractions.

LCM of 62,6975 is 13950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 540,813

GCF of Fractions 540/62,813/6975 is 3/13950

3 540, 813
180, 271

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

Greatest Common Factor of 540,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,813 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 540,813 . The biggest common factor number is the GCF number.
So the greatest common factor 540,813 is 3.

Lets's calculate LCM of 62,6975

31 62, 6975
2, 225

∴ So the LCM of the given numbers is 31 x 2 x 225 = 13950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13950

Therefore, the GCF of Fractions 540/62,813/6975 is 3/13950

Least Common Multiple of 62,6975 with GCF Formula

Least Common Multiple of 62,6975 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 62,6975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,6975) = 31

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

GCF(62,6975) x common factors =31 x 1 = 31

LCM(62,6975) = ( 62 × 6975 ) / 31

LCM(62,6975) = 432450 / 31

LCM(62,6975) = 13950


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 540/62, 813/6975

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 540/62, 813/6975?

Answer: GCF of Numerators as per given numbers 540/62, 813/6975 is

GCF of Numerators i.e. for 540,813 is 3

LCM of denominators i.e. for 62,6975 is 13950.

Thus, GCF of Fractions is 3/13950.Finally, GCF of Fractions for 540/62, 813/6975 is 3/13950.