GCD of 809, 324, 216, 690 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 809, 324, 216, 690 i.e. 1 largest integer that divides all the numbers equally.

GCD of 809, 324, 216, 690 is 1

GCD(809, 324, 216, 690) = 1

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

GCD of

GCD of numbers 809, 324, 216, 690 is 1

GCD(809, 324, 216, 690) = 1

GCD of 809,324,216,690 Calculator

GCDof 809,324,216,690 is 1

Given Input numbers are 809, 324, 216, 690

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 809, 324, 216, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 324, 216, 690 is 1.

Therefore, GCD of numbers 809, 324, 216, 690 is 1

Finding GCD of 809, 324, 216, 690 using Prime Factorization

Given Input Data is 809, 324, 216, 690

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

Prime Factorization of 809 is 809

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 690 is 2 x 3 x 5 x 23

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

Finding GCD of 809, 324, 216, 690 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(809, 324) = 262116

GCD(809, 324) = ( 809 x 324 ) / 262116

GCD(809, 324) = 262116 / 262116

GCD(809, 324) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 809, 324, 216, 690 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 809, 324, 216, 690

1. What is the GCD of 809, 324, 216, 690?

GCD of 809, 324, 216, 690 is 1


2. Where do I get the detailed procedure to find GCD of 809, 324, 216, 690?

You can find a detailed procedure to find GCD of 809, 324, 216, 690 on our page.


3. How to find GCD of 809, 324, 216, 690 on a calculator?

You can find the GCD of 809, 324, 216, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.