Greatest Common Factor of 2517/956, 1695/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2517/956, 1695/922

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 2517/956,1695/922

Given fractions are 2517/956,1695/922

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 2517,1695

Greatest Common Factor of Numerators i.e. GCF of 2517,1695 is 3 .

LCM of Denominators means LCM of 956,922 as per the given fractions.

LCM of 956,922 is 440716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2517,1695

GCF of Fractions 2517/956,1695/922 is 3/440716

3 2517, 1695
839, 565

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2517,1695 By Matching Biggest Common Factor Method

Greatest Common Factor of 2517,1695 By Matching Biggest Common Factor Method

Factors of 2517

List of positive integer factors of 2517 that divides 2517 without a remainder.

1,3,839,2517

Factors of 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1,3,5,15,113,339,565,1695

Greatest Common Factor

We found the factors 2517,1695 . The biggest common factor number is the GCF number.
So the greatest common factor 2517,1695 is 3.

Lets's calculate LCM of 956,922

2 956, 922
478, 461

∴ So the LCM of the given numbers is 2 x 478 x 461 = 440716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/440716

Therefore, the GCF of Fractions 2517/956,1695/922 is 3/440716

Least Common Multiple of 956,922 with GCF Formula

Least Common Multiple of 956,922 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 956,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,922) = 2

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

GCF(956,922) x common factors =2 x 1 = 2

LCM(956,922) = ( 956 × 922 ) / 2

LCM(956,922) = 881432 / 2

LCM(956,922) = 440716


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 2517/956, 1695/922

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 2517/956, 1695/922?

Answer: GCF of Numerators as per given numbers 2517/956, 1695/922 is

GCF of Numerators i.e. for 2517,1695 is 3

LCM of denominators i.e. for 956,922 is 440716.

Thus, GCF of Fractions is 3/440716.Finally, GCF of Fractions for 2517/956, 1695/922 is 3/440716.