Greatest Common Factor of 27/609, 159/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/609, 159/406

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 27/609,159/406

Given fractions are 27/609,159/406

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 27,159

Greatest Common Factor of Numerators i.e. GCF of 27,159 is 3 .

LCM of Denominators means LCM of 609,406 as per the given fractions.

LCM of 609,406 is 1218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,159

GCF of Fractions 27/609,159/406 is 3/1218

3 27, 159
9, 53

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 27,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,159 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 27,159 . The biggest common factor number is the GCF number.
So the greatest common factor 27,159 is 3.

Lets's calculate LCM of 609,406

7 609, 406
29 87, 58
3, 2

∴ So the LCM of the given numbers is 7 x 29 x 3 x 2 = 1218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1218

Therefore, the GCF of Fractions 27/609,159/406 is 3/1218

Least Common Multiple of 609,406 with GCF Formula

Least Common Multiple of 609,406 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 609,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,406) = 203

common factors(in case of two or more numbers have common factors) = 1

GCF(609,406) x common factors =203 x 1 = 203

LCM(609,406) = ( 609 × 406 ) / 203

LCM(609,406) = 247254 / 203

LCM(609,406) = 1218


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 27/609, 159/406

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 27/609, 159/406?

Answer: GCF of Numerators as per given numbers 27/609, 159/406 is

GCF of Numerators i.e. for 27,159 is 3

LCM of denominators i.e. for 609,406 is 1218.

Thus, GCF of Fractions is 3/1218.Finally, GCF of Fractions for 27/609, 159/406 is 3/1218.