GCD of 322, 493, 16, 795 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 322, 493, 16, 795 i.e. 1 largest integer that divides all the numbers equally.

GCD of 322, 493, 16, 795 is 1

GCD(322, 493, 16, 795) = 1

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

GCD of

GCD of numbers 322, 493, 16, 795 is 1

GCD(322, 493, 16, 795) = 1

GCD of 322,493,16,795 Calculator

GCDof 322,493,16,795 is 1

Given Input numbers are 322, 493, 16, 795

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 322, 493, 16, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 493, 16, 795 is 1.

Therefore, GCD of numbers 322, 493, 16, 795 is 1

Finding GCD of 322, 493, 16, 795 using Prime Factorization

Given Input Data is 322, 493, 16, 795

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 493 is 17 x 29

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

Prime Factorization of 795 is 3 x 5 x 53

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

Finding GCD of 322, 493, 16, 795 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(322, 493) = 158746

GCD(322, 493) = ( 322 x 493 ) / 158746

GCD(322, 493) = 158746 / 158746

GCD(322, 493) = 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 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 322, 493, 16, 795 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 322, 493, 16, 795

1. What is the GCD of 322, 493, 16, 795?

GCD of 322, 493, 16, 795 is 1


2. Where do I get the detailed procedure to find GCD of 322, 493, 16, 795?

You can find a detailed procedure to find GCD of 322, 493, 16, 795 on our page.


3. How to find GCD of 322, 493, 16, 795 on a calculator?

You can find the GCD of 322, 493, 16, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.