Greatest Common Factor of 326/16, 409/21, 566/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 326/16, 409/21, 566/27

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 326/16,409/21,566/27

Given fractions are 326/16,409/21,566/27

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 326,409,566

Greatest Common Factor of Numerators i.e. GCF of 326,409,566 is 1 .

LCM of Denominators means LCM of 16,21,27 as per the given fractions.

LCM of 16,21,27 is 3024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 326,409,566

GCF of Fractions 326/16,409/21,566/27 is 1/3024

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

Greatest Common Factor of 326,409,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,409,566 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 326,409,566 . The biggest common factor number is the GCF number.
So the greatest common factor 326,409,566 is 1.

Lets's calculate LCM of 16,21,27

3 16, 21, 27
16, 7, 9

∴ So the LCM of the given numbers is 3 x 16 x 7 x 9 = 3024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3024

Therefore, the GCF of Fractions 326/16,409/21,566/27 is 1/3024

Least Common Multiple of 16,21,27 with GCF Formula

Least Common Multiple of 16,21,27 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 16,21,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,21,27) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(16,21,27) x common factors =1 x 3 = 3

LCM(16,21,27) = ( 16 × 21 × 27 ) / 3

LCM(16,21,27) = 9072 / 3

LCM(16,21,27) = 3024


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 326/16, 409/21, 566/27

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 326/16, 409/21, 566/27?

Answer: GCF of Numerators as per given numbers 326/16, 409/21, 566/27 is

GCF of Numerators i.e. for 326,409,566 is 1

LCM of denominators i.e. for 16,21,27 is 3024.

Thus, GCF of Fractions is 1/3024.Finally, GCF of Fractions for 326/16, 409/21, 566/27 is 1/3024.