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 393, 589, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 393, 589, 264 is 1
GCD(393, 589, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 393, 589, 264 is 1
GCD(393, 589, 264) = 1
Given Input numbers are 393, 589, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 393, 589, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 589, 264 is 1.
Therefore, GCD of numbers 393, 589, 264 is 1
Given Input Data is 393, 589, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 393 is 3 x 131
Prime Factorization of 589 is 19 x 31
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(393, 589) = 231477
GCD(393, 589) = ( 393 x 589 ) / 231477
GCD(393, 589) = 231477 / 231477
GCD(393, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 393, 589, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 393, 589, 264?
GCD of 393, 589, 264 is 1
2. Where do I get the detailed procedure to find GCD of 393, 589, 264?
You can find a detailed procedure to find GCD of 393, 589, 264 on our page.
3. How to find GCD of 393, 589, 264 on a calculator?
You can find the GCD of 393, 589, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.