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 738, 909, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 909, 589 is 1
GCD(738, 909, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 909, 589 is 1
GCD(738, 909, 589) = 1
Given Input numbers are 738, 909, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
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 738, 909, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 909, 589 is 1.
Therefore, GCD of numbers 738, 909, 589 is 1
Given Input Data is 738, 909, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 909 is 3 x 3 x 101
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(738, 909) = 74538
GCD(738, 909) = ( 738 x 909 ) / 74538
GCD(738, 909) = 670842 / 74538
GCD(738, 909) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 589) = 5301
GCD(9, 589) = ( 9 x 589 ) / 5301
GCD(9, 589) = 5301 / 5301
GCD(9, 589) = 1
GCD of 738, 909, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 909, 589?
GCD of 738, 909, 589 is 1
2. Where do I get the detailed procedure to find GCD of 738, 909, 589?
You can find a detailed procedure to find GCD of 738, 909, 589 on our page.
3. How to find GCD of 738, 909, 589 on a calculator?
You can find the GCD of 738, 909, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.