Greatest Common Factor of 133/27, 6369/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/27, 6369/165

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 133/27,6369/165

Given fractions are 133/27,6369/165

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 133,6369

Greatest Common Factor of Numerators i.e. GCF of 133,6369 is 1 .

LCM of Denominators means LCM of 27,165 as per the given fractions.

LCM of 27,165 is 1485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,6369

GCF of Fractions 133/27,6369/165 is 1/1485

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 133,6369 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,6369 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1,3,11,33,193,579,2123,6369

Greatest Common Factor

We found the factors 133,6369 . The biggest common factor number is the GCF number.
So the greatest common factor 133,6369 is 1.

Lets's calculate LCM of 27,165

3 27, 165
9, 55

∴ So the LCM of the given numbers is 3 x 9 x 55 = 1485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1485

Therefore, the GCF of Fractions 133/27,6369/165 is 1/1485

Least Common Multiple of 27,165 with GCF Formula

Least Common Multiple of 27,165 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 27,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,165) = 3

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

GCF(27,165) x common factors =3 x 1 = 3

LCM(27,165) = ( 27 × 165 ) / 3

LCM(27,165) = 4455 / 3

LCM(27,165) = 1485


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 133/27, 6369/165

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 133/27, 6369/165?

Answer: GCF of Numerators as per given numbers 133/27, 6369/165 is

GCF of Numerators i.e. for 133,6369 is 1

LCM of denominators i.e. for 27,165 is 1485.

Thus, GCF of Fractions is 1/1485.Finally, GCF of Fractions for 133/27, 6369/165 is 1/1485.