Greatest Common Factor of 65/638, 2041/8131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/638, 2041/8131

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 65/638,2041/8131

Given fractions are 65/638,2041/8131

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 65,2041

Greatest Common Factor of Numerators i.e. GCF of 65,2041 is 13 .

LCM of Denominators means LCM of 638,8131 as per the given fractions.

LCM of 638,8131 is 5187578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,2041

GCF of Fractions 65/638,2041/8131 is 13/5187578

13 65, 2041
5, 157

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

Greatest Common Factor of 65,2041 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,2041 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 2041

List of positive integer factors of 2041 that divides 2041 without a remainder.

1,13,157,2041

Greatest Common Factor

We found the factors 65,2041 . The biggest common factor number is the GCF number.
So the greatest common factor 65,2041 is 13.

Lets's calculate LCM of 638,8131

Given numbers has no common factors except 1. So, there LCM is their product i.e 5187578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5187578

Therefore, the GCF of Fractions 65/638,2041/8131 is 13/5187578

Least Common Multiple of 638,8131 with GCF Formula

Least Common Multiple of 638,8131 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 638,8131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,8131) = 1

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

GCF(638,8131) x common factors =1 x 1 = 1

LCM(638,8131) = ( 638 × 8131 ) / 1

LCM(638,8131) = 5187578 / 1

LCM(638,8131) = 5187578


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 65/638, 2041/8131

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 65/638, 2041/8131?

Answer: GCF of Numerators as per given numbers 65/638, 2041/8131 is

GCF of Numerators i.e. for 65,2041 is 13

LCM of denominators i.e. for 638,8131 is 5187578.

Thus, GCF of Fractions is 13/5187578.Finally, GCF of Fractions for 65/638, 2041/8131 is 13/5187578.