GCD of 444, 204, 13 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 444, 204, 13 i.e. 1 largest integer that divides all the numbers equally.

GCD of 444, 204, 13 is 1

GCD(444, 204, 13) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 444, 204, 13 is 1

GCD(444, 204, 13) = 1

GCD of 444,204,13 Calculator

GCDof 444,204,13 is 1

Given Input numbers are 444, 204, 13

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 444, 204, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 204, 13 is 1.

Therefore, GCD of numbers 444, 204, 13 is 1

Finding GCD of 444, 204, 13 using Prime Factorization

Given Input Data is 444, 204, 13

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 13 is 13

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 444, 204, 13 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(444, 204) = 7548

GCD(444, 204) = ( 444 x 204 ) / 7548

GCD(444, 204) = 90576 / 7548

GCD(444, 204) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 13

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 13) = 156

GCD(12, 13) = ( 12 x 13 ) / 156

GCD(12, 13) = 156 / 156

GCD(12, 13) = 1

GCD of 444, 204, 13 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 444, 204, 13

1. What is the GCD of 444, 204, 13?

GCD of 444, 204, 13 is 1

2. Where do I get the detailed procedure to find GCD of 444, 204, 13?

You can find a detailed procedure to find GCD of 444, 204, 13 on our page.

3. How to find GCD of 444, 204, 13 on a calculator?

You can find the GCD of 444, 204, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.