Greatest Common Factor of 8991/681, 2712/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8991/681, 2712/345

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 8991/681,2712/345

Given fractions are 8991/681,2712/345

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 8991,2712

Greatest Common Factor of Numerators i.e. GCF of 8991,2712 is 3 .

LCM of Denominators means LCM of 681,345 as per the given fractions.

LCM of 681,345 is 78315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8991,2712

GCF of Fractions 8991/681,2712/345 is 3/78315

3 8991, 2712
2997, 904

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

Greatest Common Factor of 8991,2712 By Matching Biggest Common Factor Method

Greatest Common Factor of 8991,2712 By Matching Biggest Common Factor Method

Factors of 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1,3,9,27,37,81,111,243,333,999,2997,8991

Factors of 2712

List of positive integer factors of 2712 that divides 2712 without a remainder.

1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712

Greatest Common Factor

We found the factors 8991,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 8991,2712 is 3.

Lets's calculate LCM of 681,345

3 681, 345
227, 115

∴ So the LCM of the given numbers is 3 x 227 x 115 = 78315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/78315

Therefore, the GCF of Fractions 8991/681,2712/345 is 3/78315

Least Common Multiple of 681,345 with GCF Formula

Least Common Multiple of 681,345 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 681,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,345) = 3

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

GCF(681,345) x common factors =3 x 1 = 3

LCM(681,345) = ( 681 × 345 ) / 3

LCM(681,345) = 234945 / 3

LCM(681,345) = 78315


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 8991/681, 2712/345

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 8991/681, 2712/345?

Answer: GCF of Numerators as per given numbers 8991/681, 2712/345 is

GCF of Numerators i.e. for 8991,2712 is 3

LCM of denominators i.e. for 681,345 is 78315.

Thus, GCF of Fractions is 3/78315.Finally, GCF of Fractions for 8991/681, 2712/345 is 3/78315.