Greatest Common Factor of 150/409, 7725/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/409, 7725/133

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 150/409,7725/133

Given fractions are 150/409,7725/133

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 150,7725

Greatest Common Factor of Numerators i.e. GCF of 150,7725 is 75 .

LCM of Denominators means LCM of 409,133 as per the given fractions.

LCM of 409,133 is 54397 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,7725

GCF of Fractions 150/409,7725/133 is 75/54397

3 150, 7725
5 50, 2575
5 10, 515
2, 103

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Greatest Common Factor of 150,7725 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,7725 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 7725

List of positive integer factors of 7725 that divides 7725 without a remainder.

1,3,5,15,25,75,103,309,515,1545,2575,7725

Greatest Common Factor

We found the factors 150,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 150,7725 is 75.

Lets's calculate LCM of 409,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 54397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/54397

Therefore, the GCF of Fractions 150/409,7725/133 is 75/54397

Least Common Multiple of 409,133 with GCF Formula

Least Common Multiple of 409,133 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 409,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,133) = 1

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

GCF(409,133) x common factors =1 x 1 = 1

LCM(409,133) = ( 409 × 133 ) / 1

LCM(409,133) = 54397 / 1

LCM(409,133) = 54397


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 150/409, 7725/133

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 150/409, 7725/133?

Answer: GCF of Numerators as per given numbers 150/409, 7725/133 is

GCF of Numerators i.e. for 150,7725 is 75

LCM of denominators i.e. for 409,133 is 54397.

Thus, GCF of Fractions is 75/54397.Finally, GCF of Fractions for 150/409, 7725/133 is 75/54397.