GCD of 362, 389, 19, 999 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 362, 389, 19, 999 i.e. 1 largest integer that divides all the numbers equally.

GCD of 362, 389, 19, 999 is 1

GCD(362, 389, 19, 999) = 1

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

GCD of

GCD of numbers 362, 389, 19, 999 is 1

GCD(362, 389, 19, 999) = 1

GCD of 362,389,19,999 Calculator

GCDof 362,389,19,999 is 1

Given Input numbers are 362, 389, 19, 999

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 362, 389, 19, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 389, 19, 999 is 1.

Therefore, GCD of numbers 362, 389, 19, 999 is 1

Finding GCD of 362, 389, 19, 999 using Prime Factorization

Given Input Data is 362, 389, 19, 999

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 389 is 389

Prime Factorization of 19 is 19

Prime Factorization of 999 is 3 x 3 x 3 x 37

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

Finding GCD of 362, 389, 19, 999 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(362, 389) = 140818

GCD(362, 389) = ( 362 x 389 ) / 140818

GCD(362, 389) = 140818 / 140818

GCD(362, 389) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 362, 389, 19, 999 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 362, 389, 19, 999

1. What is the GCD of 362, 389, 19, 999?

GCD of 362, 389, 19, 999 is 1


2. Where do I get the detailed procedure to find GCD of 362, 389, 19, 999?

You can find a detailed procedure to find GCD of 362, 389, 19, 999 on our page.


3. How to find GCD of 362, 389, 19, 999 on a calculator?

You can find the GCD of 362, 389, 19, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.