Greatest Common Factor of 5137/960, 7852/4240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5137/960, 7852/4240

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 5137/960,7852/4240

Given fractions are 5137/960,7852/4240

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 5137,7852

Greatest Common Factor of Numerators i.e. GCF of 5137,7852 is 1 .

LCM of Denominators means LCM of 960,4240 as per the given fractions.

LCM of 960,4240 is 50880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5137,7852

GCF of Fractions 5137/960,7852/4240 is 1/50880

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

Greatest Common Factor of 5137,7852 By Matching Biggest Common Factor Method

Greatest Common Factor of 5137,7852 By Matching Biggest Common Factor Method

Factors of 5137

List of positive integer factors of 5137 that divides 5137 without a remainder.

1,11,467,5137

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Greatest Common Factor

We found the factors 5137,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 5137,7852 is 1.

Lets's calculate LCM of 960,4240

2 960, 4240
2 480, 2120
2 240, 1060
2 120, 530
5 60, 265
12, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 12 x 53 = 50880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50880

Therefore, the GCF of Fractions 5137/960,7852/4240 is 1/50880

Least Common Multiple of 960,4240 with GCF Formula

Least Common Multiple of 960,4240 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 960,4240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,4240) = 80

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

GCF(960,4240) x common factors =80 x 1 = 80

LCM(960,4240) = ( 960 × 4240 ) / 80

LCM(960,4240) = 4070400 / 80

LCM(960,4240) = 50880


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 5137/960, 7852/4240

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 5137/960, 7852/4240?

Answer: GCF of Numerators as per given numbers 5137/960, 7852/4240 is

GCF of Numerators i.e. for 5137,7852 is 1

LCM of denominators i.e. for 960,4240 is 50880.

Thus, GCF of Fractions is 1/50880.Finally, GCF of Fractions for 5137/960, 7852/4240 is 1/50880.