Greatest Common Factor of 133/30, 231/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/30, 231/135

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 133/30,231/135

Given fractions are 133/30,231/135

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 133,231

Greatest Common Factor of Numerators i.e. GCF of 133,231 is 7 .

LCM of Denominators means LCM of 30,135 as per the given fractions.

LCM of 30,135 is 270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,231

GCF of Fractions 133/30,231/135 is 7/270

7 133, 231
19, 33

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 133,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,231 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 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 133,231 . The biggest common factor number is the GCF number.
So the greatest common factor 133,231 is 7.

Lets's calculate LCM of 30,135

3 30, 135
5 10, 45
2, 9

∴ So the LCM of the given numbers is 3 x 5 x 2 x 9 = 270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/270

Therefore, the GCF of Fractions 133/30,231/135 is 7/270

Least Common Multiple of 30,135 with GCF Formula

Least Common Multiple of 30,135 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 30,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,135) = 15

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

GCF(30,135) x common factors =15 x 1 = 15

LCM(30,135) = ( 30 × 135 ) / 15

LCM(30,135) = 4050 / 15

LCM(30,135) = 270


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 133/30, 231/135

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 133/30, 231/135?

Answer: GCF of Numerators as per given numbers 133/30, 231/135 is

GCF of Numerators i.e. for 133,231 is 7

LCM of denominators i.e. for 30,135 is 270.

Thus, GCF of Fractions is 7/270.Finally, GCF of Fractions for 133/30, 231/135 is 7/270.