Greatest Common Factor of 66/18, 30/49, 165/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/18, 30/49, 165/213

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 66/18,30/49,165/213

Given fractions are 66/18,30/49,165/213

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 66,30,165

Greatest Common Factor of Numerators i.e. GCF of 66,30,165 is 3 .

LCM of Denominators means LCM of 18,49,213 as per the given fractions.

LCM of 18,49,213 is 62622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,30,165

GCF of Fractions 66/18,30/49,165/213 is 3/62622

3 66, 30, 165
22, 10, 55

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

Greatest Common Factor of 66,30,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,30,165 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 66,30,165 . The biggest common factor number is the GCF number.
So the greatest common factor 66,30,165 is 3.

Lets's calculate LCM of 18,49,213

3 18, 49, 213
6, 49, 71

∴ So the LCM of the given numbers is 3 x 6 x 49 x 71 = 62622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62622

Therefore, the GCF of Fractions 66/18,30/49,165/213 is 3/62622

Least Common Multiple of 18,49,213 with GCF Formula

Least Common Multiple of 18,49,213 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 18,49,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,49,213) = 1

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

GCF(18,49,213) x common factors =1 x 3 = 3

LCM(18,49,213) = ( 18 × 49 × 213 ) / 3

LCM(18,49,213) = 187866 / 3

LCM(18,49,213) = 62622


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 66/18, 30/49, 165/213

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 66/18, 30/49, 165/213?

Answer: GCF of Numerators as per given numbers 66/18, 30/49, 165/213 is

GCF of Numerators i.e. for 66,30,165 is 3

LCM of denominators i.e. for 18,49,213 is 62622.

Thus, GCF of Fractions is 3/62622.Finally, GCF of Fractions for 66/18, 30/49, 165/213 is 3/62622.