Greatest Common Factor of 201/351, 259/277, 167/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/351, 259/277, 167/500

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 201/351,259/277,167/500

Given fractions are 201/351,259/277,167/500

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 201,259,167

Greatest Common Factor of Numerators i.e. GCF of 201,259,167 is 1 .

LCM of Denominators means LCM of 351,277,500 as per the given fractions.

LCM of 351,277,500 is 48613500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,259,167

GCF of Fractions 201/351,259/277,167/500 is 1/48613500

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

Greatest Common Factor of 201,259,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,259,167 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 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 201,259,167 . The biggest common factor number is the GCF number.
So the greatest common factor 201,259,167 is 1.

Lets's calculate LCM of 351,277,500

Given numbers has no common factors except 1. So, there LCM is their product i.e 48613500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48613500

Therefore, the GCF of Fractions 201/351,259/277,167/500 is 1/48613500

Least Common Multiple of 351,277,500 with GCF Formula

Least Common Multiple of 351,277,500 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 351,277,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,277,500) = 1

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

GCF(351,277,500) x common factors =1 x 1 = 1

LCM(351,277,500) = ( 351 × 277 × 500 ) / 1

LCM(351,277,500) = 48613500 / 1

LCM(351,277,500) = 48613500


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 201/351, 259/277, 167/500

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 201/351, 259/277, 167/500?

Answer: GCF of Numerators as per given numbers 201/351, 259/277, 167/500 is

GCF of Numerators i.e. for 201,259,167 is 1

LCM of denominators i.e. for 351,277,500 is 48613500.

Thus, GCF of Fractions is 1/48613500.Finally, GCF of Fractions for 201/351, 259/277, 167/500 is 1/48613500.