Greatest Common Factor of 201/67, 5790/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/67, 5790/133

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 201/67,5790/133

Given fractions are 201/67,5790/133

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 201,5790

Greatest Common Factor of Numerators i.e. GCF of 201,5790 is 3 .

LCM of Denominators means LCM of 67,133 as per the given fractions.

LCM of 67,133 is 8911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,5790

GCF of Fractions 201/67,5790/133 is 3/8911

3 201, 5790
67, 1930

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

Greatest Common Factor of 201,5790 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,5790 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 5790

List of positive integer factors of 5790 that divides 5790 without a remainder.

1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790

Greatest Common Factor

We found the factors 201,5790 . The biggest common factor number is the GCF number.
So the greatest common factor 201,5790 is 3.

Lets's calculate LCM of 67,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 8911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8911

Therefore, the GCF of Fractions 201/67,5790/133 is 3/8911

Least Common Multiple of 67,133 with GCF Formula

Least Common Multiple of 67,133 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 67,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,133) = 1

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

GCF(67,133) x common factors =1 x 1 = 1

LCM(67,133) = ( 67 × 133 ) / 1

LCM(67,133) = 8911 / 1

LCM(67,133) = 8911


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 201/67, 5790/133

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 201/67, 5790/133?

Answer: GCF of Numerators as per given numbers 201/67, 5790/133 is

GCF of Numerators i.e. for 201,5790 is 3

LCM of denominators i.e. for 67,133 is 8911.

Thus, GCF of Fractions is 3/8911.Finally, GCF of Fractions for 201/67, 5790/133 is 3/8911.