Greatest Common Factor of 7486/240, 5216/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7486/240, 5216/537

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 7486/240,5216/537

Given fractions are 7486/240,5216/537

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 7486,5216

Greatest Common Factor of Numerators i.e. GCF of 7486,5216 is 2 .

LCM of Denominators means LCM of 240,537 as per the given fractions.

LCM of 240,537 is 42960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7486,5216

GCF of Fractions 7486/240,5216/537 is 2/42960

2 7486, 5216
3743, 2608

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7486,5216 By Matching Biggest Common Factor Method

Greatest Common Factor of 7486,5216 By Matching Biggest Common Factor Method

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1,2,19,38,197,394,3743,7486

Factors of 5216

List of positive integer factors of 5216 that divides 5216 without a remainder.

1,2,4,8,16,32,163,326,652,1304,2608,5216

Greatest Common Factor

We found the factors 7486,5216 . The biggest common factor number is the GCF number.
So the greatest common factor 7486,5216 is 2.

Lets's calculate LCM of 240,537

3 240, 537
80, 179

∴ So the LCM of the given numbers is 3 x 80 x 179 = 42960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42960

Therefore, the GCF of Fractions 7486/240,5216/537 is 2/42960

Least Common Multiple of 240,537 with GCF Formula

Least Common Multiple of 240,537 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 240,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,537) = 3

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

GCF(240,537) x common factors =3 x 1 = 3

LCM(240,537) = ( 240 × 537 ) / 3

LCM(240,537) = 128880 / 3

LCM(240,537) = 42960


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 7486/240, 5216/537

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 7486/240, 5216/537?

Answer: GCF of Numerators as per given numbers 7486/240, 5216/537 is

GCF of Numerators i.e. for 7486,5216 is 2

LCM of denominators i.e. for 240,537 is 42960.

Thus, GCF of Fractions is 2/42960.Finally, GCF of Fractions for 7486/240, 5216/537 is 2/42960.