Greatest Common Factor of 396/82, 423/23, 621/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/82, 423/23, 621/39

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 396/82,423/23,621/39

Given fractions are 396/82,423/23,621/39

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 396,423,621

Greatest Common Factor of Numerators i.e. GCF of 396,423,621 is 9 .

LCM of Denominators means LCM of 82,23,39 as per the given fractions.

LCM of 82,23,39 is 73554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,423,621

GCF of Fractions 396/82,423/23,621/39 is 9/73554

3 396, 423, 621
3 132, 141, 207
44, 47, 69

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 396,423,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,423,621 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 396,423,621 . The biggest common factor number is the GCF number.
So the greatest common factor 396,423,621 is 9.

Lets's calculate LCM of 82,23,39

Given numbers has no common factors except 1. So, there LCM is their product i.e 73554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/73554

Therefore, the GCF of Fractions 396/82,423/23,621/39 is 9/73554

Least Common Multiple of 82,23,39 with GCF Formula

Least Common Multiple of 82,23,39 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 82,23,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,23,39) = 1

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

GCF(82,23,39) x common factors =1 x 1 = 1

LCM(82,23,39) = ( 82 × 23 × 39 ) / 1

LCM(82,23,39) = 73554 / 1

LCM(82,23,39) = 73554


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 396/82, 423/23, 621/39

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 396/82, 423/23, 621/39?

Answer: GCF of Numerators as per given numbers 396/82, 423/23, 621/39 is

GCF of Numerators i.e. for 396,423,621 is 9

LCM of denominators i.e. for 82,23,39 is 73554.

Thus, GCF of Fractions is 9/73554.Finally, GCF of Fractions for 396/82, 423/23, 621/39 is 9/73554.