Greatest Common Factor of 481/655, 2678/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 481/655, 2678/171

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 481/655,2678/171

Given fractions are 481/655,2678/171

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 481,2678

Greatest Common Factor of Numerators i.e. GCF of 481,2678 is 13 .

LCM of Denominators means LCM of 655,171 as per the given fractions.

LCM of 655,171 is 112005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 481,2678

GCF of Fractions 481/655,2678/171 is 13/112005

13 481, 2678
37, 206

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 481,2678 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,2678 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1,2,13,26,103,206,1339,2678

Greatest Common Factor

We found the factors 481,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 481,2678 is 13.

Lets's calculate LCM of 655,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 112005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/112005

Therefore, the GCF of Fractions 481/655,2678/171 is 13/112005

Least Common Multiple of 655,171 with GCF Formula

Least Common Multiple of 655,171 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 655,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,171) = 1

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

GCF(655,171) x common factors =1 x 1 = 1

LCM(655,171) = ( 655 × 171 ) / 1

LCM(655,171) = 112005 / 1

LCM(655,171) = 112005


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 481/655, 2678/171

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 481/655, 2678/171?

Answer: GCF of Numerators as per given numbers 481/655, 2678/171 is

GCF of Numerators i.e. for 481,2678 is 13

LCM of denominators i.e. for 655,171 is 112005.

Thus, GCF of Fractions is 13/112005.Finally, GCF of Fractions for 481/655, 2678/171 is 13/112005.