Greatest Common Factor of 7935/71, 7416/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7935/71, 7416/958

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 7935/71,7416/958

Given fractions are 7935/71,7416/958

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 7935,7416

Greatest Common Factor of Numerators i.e. GCF of 7935,7416 is 3 .

LCM of Denominators means LCM of 71,958 as per the given fractions.

LCM of 71,958 is 68018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7935,7416

GCF of Fractions 7935/71,7416/958 is 3/68018

3 7935, 7416
2645, 2472

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

Greatest Common Factor of 7935,7416 By Matching Biggest Common Factor Method

Greatest Common Factor of 7935,7416 By Matching Biggest Common Factor Method

Factors of 7935

List of positive integer factors of 7935 that divides 7935 without a remainder.

1,3,5,15,23,69,115,345,529,1587,2645,7935

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Greatest Common Factor

We found the factors 7935,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 7935,7416 is 3.

Lets's calculate LCM of 71,958

Given numbers has no common factors except 1. So, there LCM is their product i.e 68018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68018

Therefore, the GCF of Fractions 7935/71,7416/958 is 3/68018

Least Common Multiple of 71,958 with GCF Formula

Least Common Multiple of 71,958 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 71,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,958) = 1

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

GCF(71,958) x common factors =1 x 1 = 1

LCM(71,958) = ( 71 × 958 ) / 1

LCM(71,958) = 68018 / 1

LCM(71,958) = 68018


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 7935/71, 7416/958

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 7935/71, 7416/958?

Answer: GCF of Numerators as per given numbers 7935/71, 7416/958 is

GCF of Numerators i.e. for 7935,7416 is 3

LCM of denominators i.e. for 71,958 is 68018.

Thus, GCF of Fractions is 3/68018.Finally, GCF of Fractions for 7935/71, 7416/958 is 3/68018.