Greatest Common Factor of 514/540, 613/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 514/540, 613/940

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 514/540,613/940

Given fractions are 514/540,613/940

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 514,613

Greatest Common Factor of Numerators i.e. GCF of 514,613 is 1 .

LCM of Denominators means LCM of 540,940 as per the given fractions.

LCM of 540,940 is 25380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 514,613

GCF of Fractions 514/540,613/940 is 1/25380

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

Greatest Common Factor of 514,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,613 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 514,613 . The biggest common factor number is the GCF number.
So the greatest common factor 514,613 is 1.

Lets's calculate LCM of 540,940

2 540, 940
2 270, 470
5 135, 235
27, 47

∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 47 = 25380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25380

Therefore, the GCF of Fractions 514/540,613/940 is 1/25380

Least Common Multiple of 540,940 with GCF Formula

Least Common Multiple of 540,940 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 540,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,940) = 20

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

GCF(540,940) x common factors =20 x 1 = 20

LCM(540,940) = ( 540 × 940 ) / 20

LCM(540,940) = 507600 / 20

LCM(540,940) = 25380


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 514/540, 613/940

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 514/540, 613/940?

Answer: GCF of Numerators as per given numbers 514/540, 613/940 is

GCF of Numerators i.e. for 514,613 is 1

LCM of denominators i.e. for 540,940 is 25380.

Thus, GCF of Fractions is 1/25380.Finally, GCF of Fractions for 514/540, 613/940 is 1/25380.