Greatest Common Factor of 66/15, 36/18, 588/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/15, 36/18, 588/113

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 66/15,36/18,588/113

Given fractions are 66/15,36/18,588/113

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 66,36,588

Greatest Common Factor of Numerators i.e. GCF of 66,36,588 is 6 .

LCM of Denominators means LCM of 15,18,113 as per the given fractions.

LCM of 15,18,113 is 10170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,36,588

GCF of Fractions 66/15,36/18,588/113 is 6/10170

2 66, 36, 588
3 33, 18, 294
11, 6, 98

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

Greatest Common Factor of 66,36,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,36,588 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 66,36,588 . The biggest common factor number is the GCF number.
So the greatest common factor 66,36,588 is 6.

Lets's calculate LCM of 15,18,113

3 15, 18, 113
5, 6, 113

∴ So the LCM of the given numbers is 3 x 5 x 6 x 113 = 10170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10170

Therefore, the GCF of Fractions 66/15,36/18,588/113 is 6/10170

Least Common Multiple of 15,18,113 with GCF Formula

Least Common Multiple of 15,18,113 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 15,18,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,18,113) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,18,113) x common factors =1 x 3 = 3

LCM(15,18,113) = ( 15 × 18 × 113 ) / 3

LCM(15,18,113) = 30510 / 3

LCM(15,18,113) = 10170


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 66/15, 36/18, 588/113

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 66/15, 36/18, 588/113?

Answer: GCF of Numerators as per given numbers 66/15, 36/18, 588/113 is

GCF of Numerators i.e. for 66,36,588 is 6

LCM of denominators i.e. for 15,18,113 is 10170.

Thus, GCF of Fractions is 6/10170.Finally, GCF of Fractions for 66/15, 36/18, 588/113 is 6/10170.