Greatest Common Factor of 520/65, 540/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/65, 540/235

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 520/65,540/235

Given fractions are 520/65,540/235

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 520,540

Greatest Common Factor of Numerators i.e. GCF of 520,540 is 20 .

LCM of Denominators means LCM of 65,235 as per the given fractions.

LCM of 65,235 is 3055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,540

GCF of Fractions 520/65,540/235 is 20/3055

2 520, 540
2 260, 270
5 130, 135
26, 27

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 520,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,540 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

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 520,540 . The biggest common factor number is the GCF number.
So the greatest common factor 520,540 is 20.

Lets's calculate LCM of 65,235

5 65, 235
13, 47

∴ So the LCM of the given numbers is 5 x 13 x 47 = 3055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3055

Therefore, the GCF of Fractions 520/65,540/235 is 20/3055

Least Common Multiple of 65,235 with GCF Formula

Least Common Multiple of 65,235 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 65,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,235) = 5

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

GCF(65,235) x common factors =5 x 1 = 5

LCM(65,235) = ( 65 × 235 ) / 5

LCM(65,235) = 15275 / 5

LCM(65,235) = 3055


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 520/65, 540/235

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 520/65, 540/235?

Answer: GCF of Numerators as per given numbers 520/65, 540/235 is

GCF of Numerators i.e. for 520,540 is 20

LCM of denominators i.e. for 65,235 is 3055.

Thus, GCF of Fractions is 20/3055.Finally, GCF of Fractions for 520/65, 540/235 is 20/3055.