Greatest Common Factor of 132/20, 872/36, 165/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/20, 872/36, 165/171

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 132/20,872/36,165/171

Given fractions are 132/20,872/36,165/171

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 132,872,165

Greatest Common Factor of Numerators i.e. GCF of 132,872,165 is 1 .

LCM of Denominators means LCM of 20,36,171 as per the given fractions.

LCM of 20,36,171 is 3420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,872,165

GCF of Fractions 132/20,872/36,165/171 is 1/3420

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 132,872,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,872,165 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

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 132,872,165 . The biggest common factor number is the GCF number.
So the greatest common factor 132,872,165 is 1.

Lets's calculate LCM of 20,36,171

2 20, 36, 171
2 10, 18, 171
3 5, 9, 171
3 5, 3, 57
5, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 19 = 3420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3420

Therefore, the GCF of Fractions 132/20,872/36,165/171 is 1/3420

Least Common Multiple of 20,36,171 with GCF Formula

Least Common Multiple of 20,36,171 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 20,36,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,36,171) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(20,36,171) x common factors =1 x 36 = 36

LCM(20,36,171) = ( 20 × 36 × 171 ) / 36

LCM(20,36,171) = 123120 / 36

LCM(20,36,171) = 3420


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 132/20, 872/36, 165/171

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 132/20, 872/36, 165/171?

Answer: GCF of Numerators as per given numbers 132/20, 872/36, 165/171 is

GCF of Numerators i.e. for 132,872,165 is 1

LCM of denominators i.e. for 20,36,171 is 3420.

Thus, GCF of Fractions is 1/3420.Finally, GCF of Fractions for 132/20, 872/36, 165/171 is 1/3420.