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 816, 216, 570 i.e. 6 largest integer that divides all the numbers equally.
GCD of 816, 216, 570 is 6
GCD(816, 216, 570) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 216, 570 is 6
GCD(816, 216, 570) = 6
Given Input numbers are 816, 216, 570
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Greatest Common Divisior
We found the divisors of 816, 216, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 216, 570 is 6.
Therefore, GCD of numbers 816, 216, 570 is 6
Given Input Data is 816, 216, 570
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 570 is 2 x 3 x 5 x 19
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(816, 216) = 7344
GCD(816, 216) = ( 816 x 216 ) / 7344
GCD(816, 216) = 176256 / 7344
GCD(816, 216) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 570
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 570) = 2280
GCD(24, 570) = ( 24 x 570 ) / 2280
GCD(24, 570) = 13680 / 2280
GCD(24, 570) = 6
GCD of 816, 216, 570 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 216, 570?
GCD of 816, 216, 570 is 6
2. Where do I get the detailed procedure to find GCD of 816, 216, 570?
You can find a detailed procedure to find GCD of 816, 216, 570 on our page.
3. How to find GCD of 816, 216, 570 on a calculator?
You can find the GCD of 816, 216, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.