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 numbers 809, 324, 216, 690 is 1
GCD(809, 324, 216, 690) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.