GCD of 19, 189, 323, 169 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 19, 189, 323, 169 i.e. 1 largest integer that divides all the numbers equally.

GCD of 19, 189, 323, 169 is 1

GCD(19, 189, 323, 169) = 1

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

GCD of

GCD of numbers 19, 189, 323, 169 is 1

GCD(19, 189, 323, 169) = 1

GCD of 19,189,323,169 Calculator

GCDof 19,189,323,169 is 1

Given Input numbers are 19, 189, 323, 169

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

Divisors of 19

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

1, 19

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 19, 189, 323, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 189, 323, 169 is 1.

Therefore, GCD of numbers 19, 189, 323, 169 is 1

Finding GCD of 19, 189, 323, 169 using Prime Factorization

Given Input Data is 19, 189, 323, 169

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

Prime Factorization of 19 is 19

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 323 is 17 x 19

Prime Factorization of 169 is 13 x 13

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

Finding GCD of 19, 189, 323, 169 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(19, 189) = 3591

GCD(19, 189) = ( 19 x 189 ) / 3591

GCD(19, 189) = 3591 / 3591

GCD(19, 189) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 19, 189, 323, 169 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 19, 189, 323, 169

1. What is the GCD of 19, 189, 323, 169?

GCD of 19, 189, 323, 169 is 1


2. Where do I get the detailed procedure to find GCD of 19, 189, 323, 169?

You can find a detailed procedure to find GCD of 19, 189, 323, 169 on our page.


3. How to find GCD of 19, 189, 323, 169 on a calculator?

You can find the GCD of 19, 189, 323, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.