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 220, 216, 89, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 216, 89, 595 is 1
GCD(220, 216, 89, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 216, 89, 595 is 1
GCD(220, 216, 89, 595) = 1
Given Input numbers are 220, 216, 89, 595
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 220, 216, 89, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 216, 89, 595 is 1.
Therefore, GCD of numbers 220, 216, 89, 595 is 1
Given Input Data is 220, 216, 89, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 89 is 89
Prime Factorization of 595 is 5 x 7 x 17
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(220, 216) = 11880
GCD(220, 216) = ( 220 x 216 ) / 11880
GCD(220, 216) = 47520 / 11880
GCD(220, 216) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 89) = 356
GCD(4, 89) = ( 4 x 89 ) / 356
GCD(4, 89) = 356 / 356
GCD(4, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 220, 216, 89, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 216, 89, 595?
GCD of 220, 216, 89, 595 is 1
2. Where do I get the detailed procedure to find GCD of 220, 216, 89, 595?
You can find a detailed procedure to find GCD of 220, 216, 89, 595 on our page.
3. How to find GCD of 220, 216, 89, 595 on a calculator?
You can find the GCD of 220, 216, 89, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.