Greatest Common Factor of 201/806, 3021/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/806, 3021/152

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 201/806,3021/152

Given fractions are 201/806,3021/152

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 201,3021

Greatest Common Factor of Numerators i.e. GCF of 201,3021 is 3 .

LCM of Denominators means LCM of 806,152 as per the given fractions.

LCM of 806,152 is 61256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,3021

GCF of Fractions 201/806,3021/152 is 3/61256

3 201, 3021
67, 1007

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

Greatest Common Factor of 201,3021 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,3021 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 3021

List of positive integer factors of 3021 that divides 3021 without a remainder.

1,3,19,53,57,159,1007,3021

Greatest Common Factor

We found the factors 201,3021 . The biggest common factor number is the GCF number.
So the greatest common factor 201,3021 is 3.

Lets's calculate LCM of 806,152

2 806, 152
403, 76

∴ So the LCM of the given numbers is 2 x 403 x 76 = 61256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/61256

Therefore, the GCF of Fractions 201/806,3021/152 is 3/61256

Least Common Multiple of 806,152 with GCF Formula

Least Common Multiple of 806,152 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 806,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,152) = 2

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

GCF(806,152) x common factors =2 x 1 = 2

LCM(806,152) = ( 806 × 152 ) / 2

LCM(806,152) = 122512 / 2

LCM(806,152) = 61256


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 201/806, 3021/152

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 201/806, 3021/152?

Answer: GCF of Numerators as per given numbers 201/806, 3021/152 is

GCF of Numerators i.e. for 201,3021 is 3

LCM of denominators i.e. for 806,152 is 61256.

Thus, GCF of Fractions is 3/61256.Finally, GCF of Fractions for 201/806, 3021/152 is 3/61256.