Greatest Common Factor of 957/471, 8391/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/471, 8391/616

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 957/471,8391/616

Given fractions are 957/471,8391/616

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 957,8391

Greatest Common Factor of Numerators i.e. GCF of 957,8391 is 3 .

LCM of Denominators means LCM of 471,616 as per the given fractions.

LCM of 471,616 is 290136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,8391

GCF of Fractions 957/471,8391/616 is 3/290136

3 957, 8391
319, 2797

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

Greatest Common Factor of 957,8391 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,8391 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 8391

List of positive integer factors of 8391 that divides 8391 without a remainder.

1,3,2797,8391

Greatest Common Factor

We found the factors 957,8391 . The biggest common factor number is the GCF number.
So the greatest common factor 957,8391 is 3.

Lets's calculate LCM of 471,616

Given numbers has no common factors except 1. So, there LCM is their product i.e 290136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/290136

Therefore, the GCF of Fractions 957/471,8391/616 is 3/290136

Least Common Multiple of 471,616 with GCF Formula

Least Common Multiple of 471,616 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 471,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,616) = 1

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

GCF(471,616) x common factors =1 x 1 = 1

LCM(471,616) = ( 471 × 616 ) / 1

LCM(471,616) = 290136 / 1

LCM(471,616) = 290136


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 957/471, 8391/616

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 957/471, 8391/616?

Answer: GCF of Numerators as per given numbers 957/471, 8391/616 is

GCF of Numerators i.e. for 957,8391 is 3

LCM of denominators i.e. for 471,616 is 290136.

Thus, GCF of Fractions is 3/290136.Finally, GCF of Fractions for 957/471, 8391/616 is 3/290136.