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 729, 556, 82, 582 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 556, 82, 582 is 1
GCD(729, 556, 82, 582) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 556, 82, 582 is 1
GCD(729, 556, 82, 582) = 1
Given Input numbers are 729, 556, 82, 582
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Greatest Common Divisior
We found the divisors of 729, 556, 82, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 556, 82, 582 is 1.
Therefore, GCD of numbers 729, 556, 82, 582 is 1
Given Input Data is 729, 556, 82, 582
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 82 is 2 x 41
Prime Factorization of 582 is 2 x 3 x 97
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(729, 556) = 405324
GCD(729, 556) = ( 729 x 556 ) / 405324
GCD(729, 556) = 405324 / 405324
GCD(729, 556) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 582) = 582
GCD(1, 582) = ( 1 x 582 ) / 582
GCD(1, 582) = 582 / 582
GCD(1, 582) = 1
GCD of 729, 556, 82, 582 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 556, 82, 582?
GCD of 729, 556, 82, 582 is 1
2. Where do I get the detailed procedure to find GCD of 729, 556, 82, 582?
You can find a detailed procedure to find GCD of 729, 556, 82, 582 on our page.
3. How to find GCD of 729, 556, 82, 582 on a calculator?
You can find the GCD of 729, 556, 82, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.