Greatest Common Factor of 135/68, 259/24, 382/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/68, 259/24, 382/318

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 135/68,259/24,382/318

Given fractions are 135/68,259/24,382/318

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 135,259,382

Greatest Common Factor of Numerators i.e. GCF of 135,259,382 is 1 .

LCM of Denominators means LCM of 68,24,318 as per the given fractions.

LCM of 68,24,318 is 21624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,259,382

GCF of Fractions 135/68,259/24,382/318 is 1/21624

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

Greatest Common Factor of 135,259,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,259,382 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 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 135,259,382 . The biggest common factor number is the GCF number.
So the greatest common factor 135,259,382 is 1.

Lets's calculate LCM of 68,24,318

2 68, 24, 318
2 34, 12, 159
3 17, 6, 159
17, 2, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 2 x 53 = 21624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21624

Therefore, the GCF of Fractions 135/68,259/24,382/318 is 1/21624

Least Common Multiple of 68,24,318 with GCF Formula

Least Common Multiple of 68,24,318 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 68,24,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,24,318) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(68,24,318) x common factors =2 x 12 = 24

LCM(68,24,318) = ( 68 × 24 × 318 ) / 24

LCM(68,24,318) = 518976 / 24

LCM(68,24,318) = 21624


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 135/68, 259/24, 382/318

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 135/68, 259/24, 382/318?

Answer: GCF of Numerators as per given numbers 135/68, 259/24, 382/318 is

GCF of Numerators i.e. for 135,259,382 is 1

LCM of denominators i.e. for 68,24,318 is 21624.

Thus, GCF of Fractions is 1/21624.Finally, GCF of Fractions for 135/68, 259/24, 382/318 is 1/21624.