Greatest Common Factor of 957/507, 715/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/507, 715/759

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 957/507,715/759

Given fractions are 957/507,715/759

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 957,715

Greatest Common Factor of Numerators i.e. GCF of 957,715 is 11 .

LCM of Denominators means LCM of 507,759 as per the given fractions.

LCM of 507,759 is 128271 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,715

GCF of Fractions 957/507,715/759 is 11/128271

11 957, 715
87, 65

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 957,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,715 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 957,715 . The biggest common factor number is the GCF number.
So the greatest common factor 957,715 is 11.

Lets's calculate LCM of 507,759

3 507, 759
169, 253

∴ So the LCM of the given numbers is 3 x 169 x 253 = 128271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/128271

Therefore, the GCF of Fractions 957/507,715/759 is 11/128271

Least Common Multiple of 507,759 with GCF Formula

Least Common Multiple of 507,759 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 507,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,759) = 3

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

GCF(507,759) x common factors =3 x 1 = 3

LCM(507,759) = ( 507 × 759 ) / 3

LCM(507,759) = 384813 / 3

LCM(507,759) = 128271


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 957/507, 715/759

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 957/507, 715/759?

Answer: GCF of Numerators as per given numbers 957/507, 715/759 is

GCF of Numerators i.e. for 957,715 is 11

LCM of denominators i.e. for 507,759 is 128271.

Thus, GCF of Fractions is 11/128271.Finally, GCF of Fractions for 957/507, 715/759 is 11/128271.