Greatest Common Factor of 102/7310, 540/2740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/7310, 540/2740

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 102/7310,540/2740

Given fractions are 102/7310,540/2740

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 102,540

Greatest Common Factor of Numerators i.e. GCF of 102,540 is 6 .

LCM of Denominators means LCM of 7310,2740 as per the given fractions.

LCM of 7310,2740 is 2002940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,540

GCF of Fractions 102/7310,540/2740 is 6/2002940

2 102, 540
3 51, 270
17, 90

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 102,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,540 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

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

Greatest Common Factor

We found the factors 102,540 . The biggest common factor number is the GCF number.
So the greatest common factor 102,540 is 6.

Lets's calculate LCM of 7310,2740

2 7310, 2740
5 3655, 1370
731, 274

∴ So the LCM of the given numbers is 2 x 5 x 731 x 274 = 2002940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2002940

Therefore, the GCF of Fractions 102/7310,540/2740 is 6/2002940

Least Common Multiple of 7310,2740 with GCF Formula

Least Common Multiple of 7310,2740 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 7310,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7310,2740) = 10

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

GCF(7310,2740) x common factors =10 x 1 = 10

LCM(7310,2740) = ( 7310 × 2740 ) / 10

LCM(7310,2740) = 20029400 / 10

LCM(7310,2740) = 2002940


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 102/7310, 540/2740

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 102/7310, 540/2740?

Answer: GCF of Numerators as per given numbers 102/7310, 540/2740 is

GCF of Numerators i.e. for 102,540 is 6

LCM of denominators i.e. for 7310,2740 is 2002940.

Thus, GCF of Fractions is 6/2002940.Finally, GCF of Fractions for 102/7310, 540/2740 is 6/2002940.