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, 594, 16, 531 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 594, 16, 531 is 1
GCD(220, 594, 16, 531) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 594, 16, 531 is 1
GCD(220, 594, 16, 531) = 1
Given Input numbers are 220, 594, 16, 531
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 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Greatest Common Divisior
We found the divisors of 220, 594, 16, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 594, 16, 531 is 1.
Therefore, GCD of numbers 220, 594, 16, 531 is 1
Given Input Data is 220, 594, 16, 531
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 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 531 is 3 x 3 x 59
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, 594) = 5940
GCD(220, 594) = ( 220 x 594 ) / 5940
GCD(220, 594) = 130680 / 5940
GCD(220, 594) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 16) = 176
GCD(22, 16) = ( 22 x 16 ) / 176
GCD(22, 16) = 352 / 176
GCD(22, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 531) = 1062
GCD(2, 531) = ( 2 x 531 ) / 1062
GCD(2, 531) = 1062 / 1062
GCD(2, 531) = 1
GCD of 220, 594, 16, 531 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 594, 16, 531?
GCD of 220, 594, 16, 531 is 1
2. Where do I get the detailed procedure to find GCD of 220, 594, 16, 531?
You can find a detailed procedure to find GCD of 220, 594, 16, 531 on our page.
3. How to find GCD of 220, 594, 16, 531 on a calculator?
You can find the GCD of 220, 594, 16, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.