Greatest Common Factor of 135/80, 334/15, 610/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/80, 334/15, 610/249

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 135/80,334/15,610/249

Given fractions are 135/80,334/15,610/249

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 135,334,610

Greatest Common Factor of Numerators i.e. GCF of 135,334,610 is 1 .

LCM of Denominators means LCM of 80,15,249 as per the given fractions.

LCM of 80,15,249 is 19920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,334,610

GCF of Fractions 135/80,334/15,610/249 is 1/19920

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

Greatest Common Factor of 135,334,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,334,610 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 135,334,610 . The biggest common factor number is the GCF number.
So the greatest common factor 135,334,610 is 1.

Lets's calculate LCM of 80,15,249

3 80, 15, 249
5 80, 5, 83
16, 1, 83

∴ So the LCM of the given numbers is 3 x 5 x 16 x 1 x 83 = 19920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19920

Therefore, the GCF of Fractions 135/80,334/15,610/249 is 1/19920

Least Common Multiple of 80,15,249 with GCF Formula

Least Common Multiple of 80,15,249 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 80,15,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,15,249) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(80,15,249) x common factors =1 x 15 = 15

LCM(80,15,249) = ( 80 × 15 × 249 ) / 15

LCM(80,15,249) = 298800 / 15

LCM(80,15,249) = 19920


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 135/80, 334/15, 610/249

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 135/80, 334/15, 610/249?

Answer: GCF of Numerators as per given numbers 135/80, 334/15, 610/249 is

GCF of Numerators i.e. for 135,334,610 is 1

LCM of denominators i.e. for 80,15,249 is 19920.

Thus, GCF of Fractions is 1/19920.Finally, GCF of Fractions for 135/80, 334/15, 610/249 is 1/19920.