Greatest Common Factor of 13/81, 335/52, 408/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/81, 335/52, 408/136

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 13/81,335/52,408/136

Given fractions are 13/81,335/52,408/136

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 13,335,408

Greatest Common Factor of Numerators i.e. GCF of 13,335,408 is 1 .

LCM of Denominators means LCM of 81,52,136 as per the given fractions.

LCM of 81,52,136 is 143208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,335,408

GCF of Fractions 13/81,335/52,408/136 is 1/143208

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

Greatest Common Factor of 13,335,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,335,408 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 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 13,335,408 . The biggest common factor number is the GCF number.
So the greatest common factor 13,335,408 is 1.

Lets's calculate LCM of 81,52,136

2 81, 52, 136
2 81, 26, 68
81, 13, 34

∴ So the LCM of the given numbers is 2 x 2 x 81 x 13 x 34 = 143208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143208

Therefore, the GCF of Fractions 13/81,335/52,408/136 is 1/143208

Least Common Multiple of 81,52,136 with GCF Formula

Least Common Multiple of 81,52,136 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 81,52,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,52,136) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(81,52,136) x common factors =1 x 4 = 4

LCM(81,52,136) = ( 81 × 52 × 136 ) / 4

LCM(81,52,136) = 572832 / 4

LCM(81,52,136) = 143208


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 13/81, 335/52, 408/136

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 13/81, 335/52, 408/136?

Answer: GCF of Numerators as per given numbers 13/81, 335/52, 408/136 is

GCF of Numerators i.e. for 13,335,408 is 1

LCM of denominators i.e. for 81,52,136 is 143208.

Thus, GCF of Fractions is 1/143208.Finally, GCF of Fractions for 13/81, 335/52, 408/136 is 1/143208.