Greatest Common Factor of 135/84, 617/70, 460/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/84, 617/70, 460/81

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 135/84,617/70,460/81

Given fractions are 135/84,617/70,460/81

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 135,617,460

Greatest Common Factor of Numerators i.e. GCF of 135,617,460 is 1 .

LCM of Denominators means LCM of 84,70,81 as per the given fractions.

LCM of 84,70,81 is 11340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,617,460

GCF of Fractions 135/84,617/70,460/81 is 1/11340

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

Greatest Common Factor of 135,617,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,617,460 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 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 135,617,460 . The biggest common factor number is the GCF number.
So the greatest common factor 135,617,460 is 1.

Lets's calculate LCM of 84,70,81

2 84, 70, 81
3 42, 35, 81
7 14, 35, 27
2, 5, 27

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 5 x 27 = 11340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11340

Therefore, the GCF of Fractions 135/84,617/70,460/81 is 1/11340

Least Common Multiple of 84,70,81 with GCF Formula

Least Common Multiple of 84,70,81 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 84,70,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,70,81) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(84,70,81) x common factors =1 x 42 = 42

LCM(84,70,81) = ( 84 × 70 × 81 ) / 42

LCM(84,70,81) = 476280 / 42

LCM(84,70,81) = 11340


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 135/84, 617/70, 460/81

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 135/84, 617/70, 460/81?

Answer: GCF of Numerators as per given numbers 135/84, 617/70, 460/81 is

GCF of Numerators i.e. for 135,617,460 is 1

LCM of denominators i.e. for 84,70,81 is 11340.

Thus, GCF of Fractions is 1/11340.Finally, GCF of Fractions for 135/84, 617/70, 460/81 is 1/11340.