Greatest Common Factor of 13/381, 5157/1717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/381, 5157/1717

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 13/381,5157/1717

Given fractions are 13/381,5157/1717

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 13,5157

Greatest Common Factor of Numerators i.e. GCF of 13,5157 is 1 .

LCM of Denominators means LCM of 381,1717 as per the given fractions.

LCM of 381,1717 is 654177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,5157

GCF of Fractions 13/381,5157/1717 is 1/654177

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

Greatest Common Factor of 13,5157 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,5157 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 5157

List of positive integer factors of 5157 that divides 5157 without a remainder.

1,3,9,27,191,573,1719,5157

Greatest Common Factor

We found the factors 13,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 13,5157 is 1.

Lets's calculate LCM of 381,1717

Given numbers has no common factors except 1. So, there LCM is their product i.e 654177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654177

Therefore, the GCF of Fractions 13/381,5157/1717 is 1/654177

Least Common Multiple of 381,1717 with GCF Formula

Least Common Multiple of 381,1717 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 381,1717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,1717) = 1

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

GCF(381,1717) x common factors =1 x 1 = 1

LCM(381,1717) = ( 381 × 1717 ) / 1

LCM(381,1717) = 654177 / 1

LCM(381,1717) = 654177


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 13/381, 5157/1717

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 13/381, 5157/1717?

Answer: GCF of Numerators as per given numbers 13/381, 5157/1717 is

GCF of Numerators i.e. for 13,5157 is 1

LCM of denominators i.e. for 381,1717 is 654177.

Thus, GCF of Fractions is 1/654177.Finally, GCF of Fractions for 13/381, 5157/1717 is 1/654177.