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 582, 204, 195, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 204, 195, 389 is 1
GCD(582, 204, 195, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 204, 195, 389 is 1
GCD(582, 204, 195, 389) = 1
Given Input numbers are 582, 204, 195, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
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
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 582, 204, 195, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 204, 195, 389 is 1.
Therefore, GCD of numbers 582, 204, 195, 389 is 1
Given Input Data is 582, 204, 195, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 389 is 389
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(582, 204) = 19788
GCD(582, 204) = ( 582 x 204 ) / 19788
GCD(582, 204) = 118728 / 19788
GCD(582, 204) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 195) = 390
GCD(6, 195) = ( 6 x 195 ) / 390
GCD(6, 195) = 1170 / 390
GCD(6, 195) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 389) = 1167
GCD(3, 389) = ( 3 x 389 ) / 1167
GCD(3, 389) = 1167 / 1167
GCD(3, 389) = 1
GCD of 582, 204, 195, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 204, 195, 389?
GCD of 582, 204, 195, 389 is 1
2. Where do I get the detailed procedure to find GCD of 582, 204, 195, 389?
You can find a detailed procedure to find GCD of 582, 204, 195, 389 on our page.
3. How to find GCD of 582, 204, 195, 389 on a calculator?
You can find the GCD of 582, 204, 195, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.