Greatest Common Factor of 111/9129, 327/9585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/9129, 327/9585

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 111/9129,327/9585

Given fractions are 111/9129,327/9585

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 111,327

Greatest Common Factor of Numerators i.e. GCF of 111,327 is 3 .

LCM of Denominators means LCM of 9129,9585 as per the given fractions.

LCM of 9129,9585 is 29167155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,327

GCF of Fractions 111/9129,327/9585 is 3/29167155

3 111, 327
37, 109

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

Greatest Common Factor of 111,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,327 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 111,327 . The biggest common factor number is the GCF number.
So the greatest common factor 111,327 is 3.

Lets's calculate LCM of 9129,9585

3 9129, 9585
3043, 3195

∴ So the LCM of the given numbers is 3 x 3043 x 3195 = 29167155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29167155

Therefore, the GCF of Fractions 111/9129,327/9585 is 3/29167155

Least Common Multiple of 9129,9585 with GCF Formula

Least Common Multiple of 9129,9585 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 9129,9585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9129,9585) = 3

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

GCF(9129,9585) x common factors =3 x 1 = 3

LCM(9129,9585) = ( 9129 × 9585 ) / 3

LCM(9129,9585) = 87501465 / 3

LCM(9129,9585) = 29167155


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 111/9129, 327/9585

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 111/9129, 327/9585?

Answer: GCF of Numerators as per given numbers 111/9129, 327/9585 is

GCF of Numerators i.e. for 111,327 is 3

LCM of denominators i.e. for 9129,9585 is 29167155.

Thus, GCF of Fractions is 3/29167155.Finally, GCF of Fractions for 111/9129, 327/9585 is 3/29167155.