Greatest Common Factor of 218/135, 172/730, 230/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 218/135, 172/730, 230/789

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 218/135,172/730,230/789

Given fractions are 218/135,172/730,230/789

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 218,172,230

Greatest Common Factor of Numerators i.e. GCF of 218,172,230 is 2 .

LCM of Denominators means LCM of 135,730,789 as per the given fractions.

LCM of 135,730,789 is 5183730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 218,172,230

GCF of Fractions 218/135,172/730,230/789 is 2/5183730

2 218, 172, 230
109, 86, 115

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 218,172,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,172,230 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 218,172,230 . The biggest common factor number is the GCF number.
So the greatest common factor 218,172,230 is 2.

Lets's calculate LCM of 135,730,789

3 135, 730, 789
5 45, 730, 263
9, 146, 263

∴ So the LCM of the given numbers is 3 x 5 x 9 x 146 x 263 = 5183730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5183730

Therefore, the GCF of Fractions 218/135,172/730,230/789 is 2/5183730

Least Common Multiple of 135,730,789 with GCF Formula

Least Common Multiple of 135,730,789 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 135,730,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,730,789) = 1

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

GCF(135,730,789) x common factors =1 x 15 = 15

LCM(135,730,789) = ( 135 × 730 × 789 ) / 15

LCM(135,730,789) = 77755950 / 15

LCM(135,730,789) = 5183730


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 218/135, 172/730, 230/789

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 218/135, 172/730, 230/789?

Answer: GCF of Numerators as per given numbers 218/135, 172/730, 230/789 is

GCF of Numerators i.e. for 218,172,230 is 2

LCM of denominators i.e. for 135,730,789 is 5183730.

Thus, GCF of Fractions is 2/5183730.Finally, GCF of Fractions for 218/135, 172/730, 230/789 is 2/5183730.