Greatest Common Factor of 81/237, 1107/2664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/237, 1107/2664

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 81/237,1107/2664

Given fractions are 81/237,1107/2664

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 81,1107

Greatest Common Factor of Numerators i.e. GCF of 81,1107 is 27 .

LCM of Denominators means LCM of 237,2664 as per the given fractions.

LCM of 237,2664 is 210456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,1107

GCF of Fractions 81/237,1107/2664 is 27/210456

3 81, 1107
3 27, 369
3 9, 123
3, 41

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 81,1107 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,1107 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 1107

List of positive integer factors of 1107 that divides 1107 without a remainder.

1,3,9,27,41,123,369,1107

Greatest Common Factor

We found the factors 81,1107 . The biggest common factor number is the GCF number.
So the greatest common factor 81,1107 is 27.

Lets's calculate LCM of 237,2664

3 237, 2664
79, 888

∴ So the LCM of the given numbers is 3 x 79 x 888 = 210456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/210456

Therefore, the GCF of Fractions 81/237,1107/2664 is 27/210456

Least Common Multiple of 237,2664 with GCF Formula

Least Common Multiple of 237,2664 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 237,2664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,2664) = 3

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

GCF(237,2664) x common factors =3 x 1 = 3

LCM(237,2664) = ( 237 × 2664 ) / 3

LCM(237,2664) = 631368 / 3

LCM(237,2664) = 210456


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 81/237, 1107/2664

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 81/237, 1107/2664?

Answer: GCF of Numerators as per given numbers 81/237, 1107/2664 is

GCF of Numerators i.e. for 81,1107 is 27

LCM of denominators i.e. for 237,2664 is 210456.

Thus, GCF of Fractions is 27/210456.Finally, GCF of Fractions for 81/237, 1107/2664 is 27/210456.