Greatest Common Factor of 72/36, 180/45, 252/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/36, 180/45, 252/60

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 72/36,180/45,252/60

Given fractions are 72/36,180/45,252/60

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 72,180,252

Greatest Common Factor of Numerators i.e. GCF of 72,180,252 is 36 .

LCM of Denominators means LCM of 36,45,60 as per the given fractions.

LCM of 36,45,60 is 180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,180,252

GCF of Fractions 72/36,180/45,252/60 is 36/180

2 72, 180, 252
2 36, 90, 126
3 18, 45, 63
3 6, 15, 21
2, 5, 7

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 72,180,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,180,252 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 72,180,252 . The biggest common factor number is the GCF number.
So the greatest common factor 72,180,252 is 36.

Lets's calculate LCM of 36,45,60

2 36, 45, 60
2 18, 45, 30
3 9, 45, 15
3 3, 5, 15
5 1, 5, 5
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 1 x 1 = 180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/180

Therefore, the GCF of Fractions 72/36,180/45,252/60 is 36/180

Least Common Multiple of 36,45,60 with GCF Formula

Least Common Multiple of 36,45,60 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 36,45,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,45,60) = 3

common factors(in case of two or more numbers have common factors) = 180

GCF(36,45,60) x common factors =3 x 180 = 540

LCM(36,45,60) = ( 36 × 45 × 60 ) / 540

LCM(36,45,60) = 97200 / 540

LCM(36,45,60) = 180


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 72/36, 180/45, 252/60

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 72/36, 180/45, 252/60?

Answer: GCF of Numerators as per given numbers 72/36, 180/45, 252/60 is

GCF of Numerators i.e. for 72,180,252 is 36

LCM of denominators i.e. for 36,45,60 is 180.

Thus, GCF of Fractions is 36/180.Finally, GCF of Fractions for 72/36, 180/45, 252/60 is 36/180.