Greatest Common Factor of 2739/908, 4146/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2739/908, 4146/171

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 2739/908,4146/171

Given fractions are 2739/908,4146/171

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 2739,4146

Greatest Common Factor of Numerators i.e. GCF of 2739,4146 is 3 .

LCM of Denominators means LCM of 908,171 as per the given fractions.

LCM of 908,171 is 155268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2739,4146

GCF of Fractions 2739/908,4146/171 is 3/155268

3 2739, 4146
913, 1382

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

Greatest Common Factor of 2739,4146 By Matching Biggest Common Factor Method

Greatest Common Factor of 2739,4146 By Matching Biggest Common Factor Method

Factors of 2739

List of positive integer factors of 2739 that divides 2739 without a remainder.

1,3,11,33,83,249,913,2739

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1,2,3,6,691,1382,2073,4146

Greatest Common Factor

We found the factors 2739,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 2739,4146 is 3.

Lets's calculate LCM of 908,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 155268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/155268

Therefore, the GCF of Fractions 2739/908,4146/171 is 3/155268

Least Common Multiple of 908,171 with GCF Formula

Least Common Multiple of 908,171 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 908,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,171) = 1

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

GCF(908,171) x common factors =1 x 1 = 1

LCM(908,171) = ( 908 × 171 ) / 1

LCM(908,171) = 155268 / 1

LCM(908,171) = 155268


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 2739/908, 4146/171

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 2739/908, 4146/171?

Answer: GCF of Numerators as per given numbers 2739/908, 4146/171 is

GCF of Numerators i.e. for 2739,4146 is 3

LCM of denominators i.e. for 908,171 is 155268.

Thus, GCF of Fractions is 3/155268.Finally, GCF of Fractions for 2739/908, 4146/171 is 3/155268.