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 67, 599, 585, 582 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 599, 585, 582 is 1
GCD(67, 599, 585, 582) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 599, 585, 582 is 1
GCD(67, 599, 585, 582) = 1
Given Input numbers are 67, 599, 585, 582
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
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 67, 599, 585, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 599, 585, 582 is 1.
Therefore, GCD of numbers 67, 599, 585, 582 is 1
Given Input Data is 67, 599, 585, 582
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 599 is 599
Prime Factorization of 585 is 3 x 3 x 5 x 13
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(67, 599) = 40133
GCD(67, 599) = ( 67 x 599 ) / 40133
GCD(67, 599) = 40133 / 40133
GCD(67, 599) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 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 67, 599, 585, 582 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 599, 585, 582?
GCD of 67, 599, 585, 582 is 1
2. Where do I get the detailed procedure to find GCD of 67, 599, 585, 582?
You can find a detailed procedure to find GCD of 67, 599, 585, 582 on our page.
3. How to find GCD of 67, 599, 585, 582 on a calculator?
You can find the GCD of 67, 599, 585, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.