Greatest Common Factor of 8115/894, 2961/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8115/894, 2961/692

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 8115/894,2961/692

Given fractions are 8115/894,2961/692

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 8115,2961

Greatest Common Factor of Numerators i.e. GCF of 8115,2961 is 3 .

LCM of Denominators means LCM of 894,692 as per the given fractions.

LCM of 894,692 is 309324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8115,2961

GCF of Fractions 8115/894,2961/692 is 3/309324

3 8115, 2961
2705, 987

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

Greatest Common Factor of 8115,2961 By Matching Biggest Common Factor Method

Greatest Common Factor of 8115,2961 By Matching Biggest Common Factor Method

Factors of 8115

List of positive integer factors of 8115 that divides 8115 without a remainder.

1,3,5,15,541,1623,2705,8115

Factors of 2961

List of positive integer factors of 2961 that divides 2961 without a remainder.

1,3,7,9,21,47,63,141,329,423,987,2961

Greatest Common Factor

We found the factors 8115,2961 . The biggest common factor number is the GCF number.
So the greatest common factor 8115,2961 is 3.

Lets's calculate LCM of 894,692

2 894, 692
447, 346

∴ So the LCM of the given numbers is 2 x 447 x 346 = 309324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/309324

Therefore, the GCF of Fractions 8115/894,2961/692 is 3/309324

Least Common Multiple of 894,692 with GCF Formula

Least Common Multiple of 894,692 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 894,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,692) = 2

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

GCF(894,692) x common factors =2 x 1 = 2

LCM(894,692) = ( 894 × 692 ) / 2

LCM(894,692) = 618648 / 2

LCM(894,692) = 309324


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 8115/894, 2961/692

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 8115/894, 2961/692?

Answer: GCF of Numerators as per given numbers 8115/894, 2961/692 is

GCF of Numerators i.e. for 8115,2961 is 3

LCM of denominators i.e. for 894,692 is 309324.

Thus, GCF of Fractions is 3/309324.Finally, GCF of Fractions for 8115/894, 2961/692 is 3/309324.