Greatest Common Factor of 65/13, 20/43, 26/81, 42/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/13, 20/43, 26/81, 42/457

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 65/13,20/43,26/81,42/457

Given fractions are 65/13,20/43,26/81,42/457

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 65,20,26,42

Greatest Common Factor of Numerators i.e. GCF of 65,20,26,42 is 1 .

LCM of Denominators means LCM of 13,43,81,457 as per the given fractions.

LCM of 13,43,81,457 is 20692503 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,20,26,42

GCF of Fractions 65/13,20/43,26/81,42/457 is 1/20692503

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

Greatest Common Factor of 65,20,26,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,20,26,42 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 65,20,26,42 . The biggest common factor number is the GCF number.
So the greatest common factor 65,20,26,42 is 1.

Lets's calculate LCM of 13,43,81,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 20692503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20692503

Therefore, the GCF of Fractions 65/13,20/43,26/81,42/457 is 1/20692503

Least Common Multiple of 13,43,81,457 with GCF Formula

Least Common Multiple of 13,43,81,457 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 13,43,81,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,43,81,457) = 1

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

GCF(13,43,81,457) x common factors =1 x 1 = 1

LCM(13,43,81,457) = ( 13 × 43 × 81 × 457 ) / 1

LCM(13,43,81,457) = 20692503 / 1

LCM(13,43,81,457) = 20692503


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 65/13, 20/43, 26/81, 42/457

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 65/13, 20/43, 26/81, 42/457?

Answer: GCF of Numerators as per given numbers 65/13, 20/43, 26/81, 42/457 is

GCF of Numerators i.e. for 65,20,26,42 is 1

LCM of denominators i.e. for 13,43,81,457 is 20692503.

Thus, GCF of Fractions is 1/20692503.Finally, GCF of Fractions for 65/13, 20/43, 26/81, 42/457 is 1/20692503.