Greatest Common Factor of 959/27, 201/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 959/27, 201/441

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 959/27,201/441

Given fractions are 959/27,201/441

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 959,201

Greatest Common Factor of Numerators i.e. GCF of 959,201 is 1 .

LCM of Denominators means LCM of 27,441 as per the given fractions.

LCM of 27,441 is 1323 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 959,201

GCF of Fractions 959/27,201/441 is 1/1323

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

Greatest Common Factor of 959,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,201 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

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 959,201 . The biggest common factor number is the GCF number.
So the greatest common factor 959,201 is 1.

Lets's calculate LCM of 27,441

3 27, 441
3 9, 147
3, 49

∴ So the LCM of the given numbers is 3 x 3 x 3 x 49 = 1323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1323

Therefore, the GCF of Fractions 959/27,201/441 is 1/1323

Least Common Multiple of 27,441 with GCF Formula

Least Common Multiple of 27,441 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 27,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,441) = 9

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

GCF(27,441) x common factors =9 x 1 = 9

LCM(27,441) = ( 27 × 441 ) / 9

LCM(27,441) = 11907 / 9

LCM(27,441) = 1323


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 959/27, 201/441

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 959/27, 201/441?

Answer: GCF of Numerators as per given numbers 959/27, 201/441 is

GCF of Numerators i.e. for 959,201 is 1

LCM of denominators i.e. for 27,441 is 1323.

Thus, GCF of Fractions is 1/1323.Finally, GCF of Fractions for 959/27, 201/441 is 1/1323.