Greatest Common Factor of 8721/894, 5394/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8721/894, 5394/909

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 8721/894,5394/909

Given fractions are 8721/894,5394/909

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 8721,5394

Greatest Common Factor of Numerators i.e. GCF of 8721,5394 is 3 .

LCM of Denominators means LCM of 894,909 as per the given fractions.

LCM of 894,909 is 270882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8721,5394

GCF of Fractions 8721/894,5394/909 is 3/270882

3 8721, 5394
2907, 1798

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

Greatest Common Factor of 8721,5394 By Matching Biggest Common Factor Method

Greatest Common Factor of 8721,5394 By Matching Biggest Common Factor Method

Factors of 8721

List of positive integer factors of 8721 that divides 8721 without a remainder.

1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721

Factors of 5394

List of positive integer factors of 5394 that divides 5394 without a remainder.

1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394

Greatest Common Factor

We found the factors 8721,5394 . The biggest common factor number is the GCF number.
So the greatest common factor 8721,5394 is 3.

Lets's calculate LCM of 894,909

3 894, 909
298, 303

∴ So the LCM of the given numbers is 3 x 298 x 303 = 270882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/270882

Therefore, the GCF of Fractions 8721/894,5394/909 is 3/270882

Least Common Multiple of 894,909 with GCF Formula

Least Common Multiple of 894,909 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 894,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,909) = 3

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

GCF(894,909) x common factors =3 x 1 = 3

LCM(894,909) = ( 894 × 909 ) / 3

LCM(894,909) = 812646 / 3

LCM(894,909) = 270882


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 8721/894, 5394/909

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 8721/894, 5394/909?

Answer: GCF of Numerators as per given numbers 8721/894, 5394/909 is

GCF of Numerators i.e. for 8721,5394 is 3

LCM of denominators i.e. for 894,909 is 270882.

Thus, GCF of Fractions is 3/270882.Finally, GCF of Fractions for 8721/894, 5394/909 is 3/270882.