Greatest Common Factor of 520/960, 2743/1295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/960, 2743/1295

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 520/960,2743/1295

Given fractions are 520/960,2743/1295

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 520,2743

Greatest Common Factor of Numerators i.e. GCF of 520,2743 is 13 .

LCM of Denominators means LCM of 960,1295 as per the given fractions.

LCM of 960,1295 is 248640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,2743

GCF of Fractions 520/960,2743/1295 is 13/248640

13 520, 2743
40, 211

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 520,2743 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,2743 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 2743

List of positive integer factors of 2743 that divides 2743 without a remainder.

1,13,211,2743

Greatest Common Factor

We found the factors 520,2743 . The biggest common factor number is the GCF number.
So the greatest common factor 520,2743 is 13.

Lets's calculate LCM of 960,1295

5 960, 1295
192, 259

∴ So the LCM of the given numbers is 5 x 192 x 259 = 248640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/248640

Therefore, the GCF of Fractions 520/960,2743/1295 is 13/248640

Least Common Multiple of 960,1295 with GCF Formula

Least Common Multiple of 960,1295 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 960,1295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,1295) = 5

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

GCF(960,1295) x common factors =5 x 1 = 5

LCM(960,1295) = ( 960 × 1295 ) / 5

LCM(960,1295) = 1243200 / 5

LCM(960,1295) = 248640


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 520/960, 2743/1295

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 520/960, 2743/1295?

Answer: GCF of Numerators as per given numbers 520/960, 2743/1295 is

GCF of Numerators i.e. for 520,2743 is 13

LCM of denominators i.e. for 960,1295 is 248640.

Thus, GCF of Fractions is 13/248640.Finally, GCF of Fractions for 520/960, 2743/1295 is 13/248640.