Greatest Common Factor of 2757/273, 3899/7899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2757/273, 3899/7899

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 2757/273,3899/7899

Given fractions are 2757/273,3899/7899

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 2757,3899

Greatest Common Factor of Numerators i.e. GCF of 2757,3899 is 1 .

LCM of Denominators means LCM of 273,7899 as per the given fractions.

LCM of 273,7899 is 718809 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2757,3899

GCF of Fractions 2757/273,3899/7899 is 1/718809

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2757,3899 By Matching Biggest Common Factor Method

Greatest Common Factor of 2757,3899 By Matching Biggest Common Factor Method

Factors of 2757

List of positive integer factors of 2757 that divides 2757 without a remainder.

1,3,919,2757

Factors of 3899

List of positive integer factors of 3899 that divides 3899 without a remainder.

1,7,557,3899

Greatest Common Factor

We found the factors 2757,3899 . The biggest common factor number is the GCF number.
So the greatest common factor 2757,3899 is 1.

Lets's calculate LCM of 273,7899

3 273, 7899
91, 2633

∴ So the LCM of the given numbers is 3 x 91 x 2633 = 718809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718809

Therefore, the GCF of Fractions 2757/273,3899/7899 is 1/718809

Least Common Multiple of 273,7899 with GCF Formula

Least Common Multiple of 273,7899 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 273,7899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,7899) = 3

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

GCF(273,7899) x common factors =3 x 1 = 3

LCM(273,7899) = ( 273 × 7899 ) / 3

LCM(273,7899) = 2156427 / 3

LCM(273,7899) = 718809


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 2757/273, 3899/7899

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 2757/273, 3899/7899?

Answer: GCF of Numerators as per given numbers 2757/273, 3899/7899 is

GCF of Numerators i.e. for 2757,3899 is 1

LCM of denominators i.e. for 273,7899 is 718809.

Thus, GCF of Fractions is 1/718809.Finally, GCF of Fractions for 2757/273, 3899/7899 is 1/718809.