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 162, 617, 569, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 617, 569, 216 is 1
GCD(162, 617, 569, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 617, 569, 216 is 1
GCD(162, 617, 569, 216) = 1
Given Input numbers are 162, 617, 569, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
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
Greatest Common Divisior
We found the divisors of 162, 617, 569, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 617, 569, 216 is 1.
Therefore, GCD of numbers 162, 617, 569, 216 is 1
Given Input Data is 162, 617, 569, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 617 is 617
Prime Factorization of 569 is 569
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(162, 617) = 99954
GCD(162, 617) = ( 162 x 617 ) / 99954
GCD(162, 617) = 99954 / 99954
GCD(162, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
Step3:
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
GCD of 162, 617, 569, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 617, 569, 216?
GCD of 162, 617, 569, 216 is 1
2. Where do I get the detailed procedure to find GCD of 162, 617, 569, 216?
You can find a detailed procedure to find GCD of 162, 617, 569, 216 on our page.
3. How to find GCD of 162, 617, 569, 216 on a calculator?
You can find the GCD of 162, 617, 569, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.