Greatest Common Factor of 150/75, 180/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/75, 180/966

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 150/75,180/966

Given fractions are 150/75,180/966

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 150,180

Greatest Common Factor of Numerators i.e. GCF of 150,180 is 30 .

LCM of Denominators means LCM of 75,966 as per the given fractions.

LCM of 75,966 is 24150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,180

GCF of Fractions 150/75,180/966 is 30/24150

2 150, 180
3 75, 90
5 25, 30
5, 6

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 150,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,180 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

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

Greatest Common Factor

We found the factors 150,180 . The biggest common factor number is the GCF number.
So the greatest common factor 150,180 is 30.

Lets's calculate LCM of 75,966

3 75, 966
25, 322

∴ So the LCM of the given numbers is 3 x 25 x 322 = 24150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/24150

Therefore, the GCF of Fractions 150/75,180/966 is 30/24150

Least Common Multiple of 75,966 with GCF Formula

Least Common Multiple of 75,966 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 75,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,966) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(75,966) x common factors =3 x 1 = 3

LCM(75,966) = ( 75 × 966 ) / 3

LCM(75,966) = 72450 / 3

LCM(75,966) = 24150


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 150/75, 180/966

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 150/75, 180/966?

Answer: GCF of Numerators as per given numbers 150/75, 180/966 is

GCF of Numerators i.e. for 150,180 is 30

LCM of denominators i.e. for 75,966 is 24150.

Thus, GCF of Fractions is 30/24150.Finally, GCF of Fractions for 150/75, 180/966 is 30/24150.