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 744, 128, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 744, 128, 589 is 1
GCD(744, 128, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 744, 128, 589 is 1
GCD(744, 128, 589) = 1
Given Input numbers are 744, 128, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 744, 128, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 128, 589 is 1.
Therefore, GCD of numbers 744, 128, 589 is 1
Given Input Data is 744, 128, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 589 is 19 x 31
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(744, 128) = 11904
GCD(744, 128) = ( 744 x 128 ) / 11904
GCD(744, 128) = 95232 / 11904
GCD(744, 128) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 589) = 4712
GCD(8, 589) = ( 8 x 589 ) / 4712
GCD(8, 589) = 4712 / 4712
GCD(8, 589) = 1
GCD of 744, 128, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 744, 128, 589?
GCD of 744, 128, 589 is 1
2. Where do I get the detailed procedure to find GCD of 744, 128, 589?
You can find a detailed procedure to find GCD of 744, 128, 589 on our page.
3. How to find GCD of 744, 128, 589 on a calculator?
You can find the GCD of 744, 128, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.