Greatest Common Factor of 180/75, 123/19, 720/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/75, 123/19, 720/57

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 180/75,123/19,720/57

Given fractions are 180/75,123/19,720/57

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 180,123,720

Greatest Common Factor of Numerators i.e. GCF of 180,123,720 is 3 .

LCM of Denominators means LCM of 75,19,57 as per the given fractions.

LCM of 75,19,57 is 1425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,123,720

GCF of Fractions 180/75,123/19,720/57 is 3/1425

3 180, 123, 720
60, 41, 240

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

Greatest Common Factor of 180,123,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,123,720 By Matching Biggest Common Factor Method

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 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 180,123,720 . The biggest common factor number is the GCF number.
So the greatest common factor 180,123,720 is 3.

Lets's calculate LCM of 75,19,57

3 75, 19, 57
19 25, 19, 19
25, 1, 1

∴ So the LCM of the given numbers is 3 x 19 x 25 x 1 x 1 = 1425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1425

Therefore, the GCF of Fractions 180/75,123/19,720/57 is 3/1425

Least Common Multiple of 75,19,57 with GCF Formula

Least Common Multiple of 75,19,57 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 75,19,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,19,57) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(75,19,57) x common factors =1 x 57 = 57

LCM(75,19,57) = ( 75 × 19 × 57 ) / 57

LCM(75,19,57) = 81225 / 57

LCM(75,19,57) = 1425


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 180/75, 123/19, 720/57

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 180/75, 123/19, 720/57?

Answer: GCF of Numerators as per given numbers 180/75, 123/19, 720/57 is

GCF of Numerators i.e. for 180,123,720 is 3

LCM of denominators i.e. for 75,19,57 is 1425.

Thus, GCF of Fractions is 3/1425.Finally, GCF of Fractions for 180/75, 123/19, 720/57 is 3/1425.