Greatest Common Factor of 160/48, 180/72, 240/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 160/48, 180/72, 240/132

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 160/48,180/72,240/132

Given fractions are 160/48,180/72,240/132

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 160,180,240

Greatest Common Factor of Numerators i.e. GCF of 160,180,240 is 20 .

LCM of Denominators means LCM of 48,72,132 as per the given fractions.

LCM of 48,72,132 is 1584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,180,240

GCF of Fractions 160/48,180/72,240/132 is 20/1584

2 160, 180, 240
2 80, 90, 120
5 40, 45, 60
8, 9, 12

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 160,180,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,180,240 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

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 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 160,180,240 . The biggest common factor number is the GCF number.
So the greatest common factor 160,180,240 is 20.

Lets's calculate LCM of 48,72,132

2 48, 72, 132
2 24, 36, 66
2 12, 18, 33
3 6, 9, 33
2, 3, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 3 x 11 = 1584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1584

Therefore, the GCF of Fractions 160/48,180/72,240/132 is 20/1584

Least Common Multiple of 48,72,132 with GCF Formula

Least Common Multiple of 48,72,132 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 48,72,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,72,132) = 12

common factors(in case of two or more numbers have common factors) = 24

GCF(48,72,132) x common factors =12 x 24 = 288

LCM(48,72,132) = ( 48 × 72 × 132 ) / 288

LCM(48,72,132) = 456192 / 288

LCM(48,72,132) = 1584


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 160/48, 180/72, 240/132

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 160/48, 180/72, 240/132?

Answer: GCF of Numerators as per given numbers 160/48, 180/72, 240/132 is

GCF of Numerators i.e. for 160,180,240 is 20

LCM of denominators i.e. for 48,72,132 is 1584.

Thus, GCF of Fractions is 20/1584.Finally, GCF of Fractions for 160/48, 180/72, 240/132 is 20/1584.