Greatest Common Factor of 957/95, 6861/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/95, 6861/330

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 957/95,6861/330

Given fractions are 957/95,6861/330

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 957,6861

Greatest Common Factor of Numerators i.e. GCF of 957,6861 is 3 .

LCM of Denominators means LCM of 95,330 as per the given fractions.

LCM of 95,330 is 6270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,6861

GCF of Fractions 957/95,6861/330 is 3/6270

3 957, 6861
319, 2287

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

Greatest Common Factor of 957,6861 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,6861 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 6861

List of positive integer factors of 6861 that divides 6861 without a remainder.

1,3,2287,6861

Greatest Common Factor

We found the factors 957,6861 . The biggest common factor number is the GCF number.
So the greatest common factor 957,6861 is 3.

Lets's calculate LCM of 95,330

5 95, 330
19, 66

∴ So the LCM of the given numbers is 5 x 19 x 66 = 6270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6270

Therefore, the GCF of Fractions 957/95,6861/330 is 3/6270

Least Common Multiple of 95,330 with GCF Formula

Least Common Multiple of 95,330 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 95,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,330) = 5

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

GCF(95,330) x common factors =5 x 1 = 5

LCM(95,330) = ( 95 × 330 ) / 5

LCM(95,330) = 31350 / 5

LCM(95,330) = 6270


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 957/95, 6861/330

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 957/95, 6861/330?

Answer: GCF of Numerators as per given numbers 957/95, 6861/330 is

GCF of Numerators i.e. for 957,6861 is 3

LCM of denominators i.e. for 95,330 is 6270.

Thus, GCF of Fractions is 3/6270.Finally, GCF of Fractions for 957/95, 6861/330 is 3/6270.