Greatest Common Factor of 231/58, 201/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/58, 201/175

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 231/58,201/175

Given fractions are 231/58,201/175

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

Greatest Common Factor of Numerators i.e. GCF of 231,201 is 3 .

LCM of Denominators means LCM of 58,175 as per the given fractions.

LCM of 58,175 is 10150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,201

GCF of Fractions 231/58,201/175 is 3/10150

3 231, 201
77, 67

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

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

Greatest Common Factor of 231,201 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

Greatest Common Factor

We found the factors 231,201 . The biggest common factor number is the GCF number.
So the greatest common factor 231,201 is 3.

Lets's calculate LCM of 58,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 10150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10150

Therefore, the GCF of Fractions 231/58,201/175 is 3/10150

Least Common Multiple of 58,175 with GCF Formula

Least Common Multiple of 58,175 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 58,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,175) = 1

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

GCF(58,175) x common factors =1 x 1 = 1

LCM(58,175) = ( 58 × 175 ) / 1

LCM(58,175) = 10150 / 1

LCM(58,175) = 10150


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 231/58, 201/175

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 231/58, 201/175?

Answer: GCF of Numerators as per given numbers 231/58, 201/175 is

GCF of Numerators i.e. for 231,201 is 3

LCM of denominators i.e. for 58,175 is 10150.

Thus, GCF of Fractions is 3/10150.Finally, GCF of Fractions for 231/58, 201/175 is 3/10150.