Greatest Common Factor of 138/27, 588/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/27, 588/559

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 138/27,588/559

Given fractions are 138/27,588/559

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 138,588

Greatest Common Factor of Numerators i.e. GCF of 138,588 is 6 .

LCM of Denominators means LCM of 27,559 as per the given fractions.

LCM of 27,559 is 15093 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,588

GCF of Fractions 138/27,588/559 is 6/15093

2 138, 588
3 69, 294
23, 98

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 138,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,588 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 138,588 . The biggest common factor number is the GCF number.
So the greatest common factor 138,588 is 6.

Lets's calculate LCM of 27,559

Given numbers has no common factors except 1. So, there LCM is their product i.e 15093

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/15093

Therefore, the GCF of Fractions 138/27,588/559 is 6/15093

Least Common Multiple of 27,559 with GCF Formula

Least Common Multiple of 27,559 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 27,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,559) = 1

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

GCF(27,559) x common factors =1 x 1 = 1

LCM(27,559) = ( 27 × 559 ) / 1

LCM(27,559) = 15093 / 1

LCM(27,559) = 15093


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 138/27, 588/559

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 138/27, 588/559?

Answer: GCF of Numerators as per given numbers 138/27, 588/559 is

GCF of Numerators i.e. for 138,588 is 6

LCM of denominators i.e. for 27,559 is 15093.

Thus, GCF of Fractions is 6/15093.Finally, GCF of Fractions for 138/27, 588/559 is 6/15093.