Greatest Common Factor of 2163/732, 3057/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2163/732, 3057/249

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 2163/732,3057/249

Given fractions are 2163/732,3057/249

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 2163,3057

Greatest Common Factor of Numerators i.e. GCF of 2163,3057 is 3 .

LCM of Denominators means LCM of 732,249 as per the given fractions.

LCM of 732,249 is 60756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2163,3057

GCF of Fractions 2163/732,3057/249 is 3/60756

3 2163, 3057
721, 1019

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

Greatest Common Factor of 2163,3057 By Matching Biggest Common Factor Method

Greatest Common Factor of 2163,3057 By Matching Biggest Common Factor Method

Factors of 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1,3,7,21,103,309,721,2163

Factors of 3057

List of positive integer factors of 3057 that divides 3057 without a remainder.

1,3,1019,3057

Greatest Common Factor

We found the factors 2163,3057 . The biggest common factor number is the GCF number.
So the greatest common factor 2163,3057 is 3.

Lets's calculate LCM of 732,249

3 732, 249
244, 83

∴ So the LCM of the given numbers is 3 x 244 x 83 = 60756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60756

Therefore, the GCF of Fractions 2163/732,3057/249 is 3/60756

Least Common Multiple of 732,249 with GCF Formula

Least Common Multiple of 732,249 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 732,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,249) = 3

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

GCF(732,249) x common factors =3 x 1 = 3

LCM(732,249) = ( 732 × 249 ) / 3

LCM(732,249) = 182268 / 3

LCM(732,249) = 60756


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 2163/732, 3057/249

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 2163/732, 3057/249?

Answer: GCF of Numerators as per given numbers 2163/732, 3057/249 is

GCF of Numerators i.e. for 2163,3057 is 3

LCM of denominators i.e. for 732,249 is 60756.

Thus, GCF of Fractions is 3/60756.Finally, GCF of Fractions for 2163/732, 3057/249 is 3/60756.