Greatest Common Factor of 231/35, 201/32, 146/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/35, 201/32, 146/330

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 231/35,201/32,146/330

Given fractions are 231/35,201/32,146/330

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 231,201,146

Greatest Common Factor of Numerators i.e. GCF of 231,201,146 is 1 .

LCM of Denominators means LCM of 35,32,330 as per the given fractions.

LCM of 35,32,330 is 36960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,201,146

GCF of Fractions 231/35,201/32,146/330 is 1/36960

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

Greatest Common Factor of 231,201,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,201,146 By Matching Biggest Common Factor Method

Factors of 231

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

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

Factors of 201

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

1,3,67,201

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 231,201,146 . The biggest common factor number is the GCF number.
So the greatest common factor 231,201,146 is 1.

Lets's calculate LCM of 35,32,330

2 35, 32, 330
5 35, 16, 165
7, 16, 33

∴ So the LCM of the given numbers is 2 x 5 x 7 x 16 x 33 = 36960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36960

Therefore, the GCF of Fractions 231/35,201/32,146/330 is 1/36960

Least Common Multiple of 35,32,330 with GCF Formula

Least Common Multiple of 35,32,330 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 35,32,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,32,330) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(35,32,330) x common factors =1 x 10 = 10

LCM(35,32,330) = ( 35 × 32 × 330 ) / 10

LCM(35,32,330) = 369600 / 10

LCM(35,32,330) = 36960


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 231/35, 201/32, 146/330

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 231/35, 201/32, 146/330?

Answer: GCF of Numerators as per given numbers 231/35, 201/32, 146/330 is

GCF of Numerators i.e. for 231,201,146 is 1

LCM of denominators i.e. for 35,32,330 is 36960.

Thus, GCF of Fractions is 1/36960.Finally, GCF of Fractions for 231/35, 201/32, 146/330 is 1/36960.