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 609, 450, 216, 204 i.e. 3 largest integer that divides all the numbers equally.
GCD of 609, 450, 216, 204 is 3
GCD(609, 450, 216, 204) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 609, 450, 216, 204 is 3
GCD(609, 450, 216, 204) = 3
Given Input numbers are 609, 450, 216, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Greatest Common Divisior
We found the divisors of 609, 450, 216, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 450, 216, 204 is 3.
Therefore, GCD of numbers 609, 450, 216, 204 is 3
Given Input Data is 609, 450, 216, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 204 is 2 x 2 x 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(609, 450) = 91350
GCD(609, 450) = ( 609 x 450 ) / 91350
GCD(609, 450) = 274050 / 91350
GCD(609, 450) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 216) = 216
GCD(3, 216) = ( 3 x 216 ) / 216
GCD(3, 216) = 648 / 216
GCD(3, 216) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
GCD(3, 204) = 612 / 204
GCD(3, 204) = 3
GCD of 609, 450, 216, 204 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 609, 450, 216, 204?
GCD of 609, 450, 216, 204 is 3
2. Where do I get the detailed procedure to find GCD of 609, 450, 216, 204?
You can find a detailed procedure to find GCD of 609, 450, 216, 204 on our page.
3. How to find GCD of 609, 450, 216, 204 on a calculator?
You can find the GCD of 609, 450, 216, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.