GCD of 369, 242, 16, 273 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 369, 242, 16, 273 i.e. 1 largest integer that divides all the numbers equally.

GCD of 369, 242, 16, 273 is 1

GCD(369, 242, 16, 273) = 1

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

GCD of

GCD of numbers 369, 242, 16, 273 is 1

GCD(369, 242, 16, 273) = 1

GCD of 369,242,16,273 Calculator

GCDof 369,242,16,273 is 1

Given Input numbers are 369, 242, 16, 273

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 369, 242, 16, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 242, 16, 273 is 1.

Therefore, GCD of numbers 369, 242, 16, 273 is 1

Finding GCD of 369, 242, 16, 273 using Prime Factorization

Given Input Data is 369, 242, 16, 273

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 273 is 3 x 7 x 13

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

Finding GCD of 369, 242, 16, 273 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(369, 242) = 89298

GCD(369, 242) = ( 369 x 242 ) / 89298

GCD(369, 242) = 89298 / 89298

GCD(369, 242) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 369, 242, 16, 273 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 369, 242, 16, 273

1. What is the GCD of 369, 242, 16, 273?

GCD of 369, 242, 16, 273 is 1


2. Where do I get the detailed procedure to find GCD of 369, 242, 16, 273?

You can find a detailed procedure to find GCD of 369, 242, 16, 273 on our page.


3. How to find GCD of 369, 242, 16, 273 on a calculator?

You can find the GCD of 369, 242, 16, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.