Greatest Common Factor of 90/45, 150/75, 225/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/45, 150/75, 225/225

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 90/45,150/75,225/225

Given fractions are 90/45,150/75,225/225

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 90,150,225

Greatest Common Factor of Numerators i.e. GCF of 90,150,225 is 15 .

LCM of Denominators means LCM of 45,75,225 as per the given fractions.

LCM of 45,75,225 is 225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,150,225

GCF of Fractions 90/45,150/75,225/225 is 15/225

3 90, 150, 225
5 30, 50, 75
6, 10, 15

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 90,150,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,150,225 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 90,150,225 . The biggest common factor number is the GCF number.
So the greatest common factor 90,150,225 is 15.

Lets's calculate LCM of 45,75,225

3 45, 75, 225
3 15, 25, 75
5 5, 25, 25
5 1, 5, 5
1, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 1 x 1 x 1 = 225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/225

Therefore, the GCF of Fractions 90/45,150/75,225/225 is 15/225

Least Common Multiple of 45,75,225 with GCF Formula

Least Common Multiple of 45,75,225 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 45,75,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,75,225) = 15

common factors(in case of two or more numbers have common factors) = 225

GCF(45,75,225) x common factors =15 x 225 = 3375

LCM(45,75,225) = ( 45 × 75 × 225 ) / 3375

LCM(45,75,225) = 759375 / 3375

LCM(45,75,225) = 225


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 90/45, 150/75, 225/225

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 90/45, 150/75, 225/225?

Answer: GCF of Numerators as per given numbers 90/45, 150/75, 225/225 is

GCF of Numerators i.e. for 90,150,225 is 15

LCM of denominators i.e. for 45,75,225 is 225.

Thus, GCF of Fractions is 15/225.Finally, GCF of Fractions for 90/45, 150/75, 225/225 is 15/225.