Greatest Common Factor of 957/735, 2419/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/735, 2419/917

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 957/735,2419/917

Given fractions are 957/735,2419/917

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 957,2419

Greatest Common Factor of Numerators i.e. GCF of 957,2419 is 1 .

LCM of Denominators means LCM of 735,917 as per the given fractions.

LCM of 735,917 is 96285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,2419

GCF of Fractions 957/735,2419/917 is 1/96285

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

Greatest Common Factor of 957,2419 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,2419 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 2419

List of positive integer factors of 2419 that divides 2419 without a remainder.

1,41,59,2419

Greatest Common Factor

We found the factors 957,2419 . The biggest common factor number is the GCF number.
So the greatest common factor 957,2419 is 1.

Lets's calculate LCM of 735,917

7 735, 917
105, 131

∴ So the LCM of the given numbers is 7 x 105 x 131 = 96285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96285

Therefore, the GCF of Fractions 957/735,2419/917 is 1/96285

Least Common Multiple of 735,917 with GCF Formula

Least Common Multiple of 735,917 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 735,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,917) = 7

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

GCF(735,917) x common factors =7 x 1 = 7

LCM(735,917) = ( 735 × 917 ) / 7

LCM(735,917) = 673995 / 7

LCM(735,917) = 96285


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 957/735, 2419/917

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 957/735, 2419/917?

Answer: GCF of Numerators as per given numbers 957/735, 2419/917 is

GCF of Numerators i.e. for 957,2419 is 1

LCM of denominators i.e. for 735,917 is 96285.

Thus, GCF of Fractions is 1/96285.Finally, GCF of Fractions for 957/735, 2419/917 is 1/96285.