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 326, 791, 496, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 326, 791, 496, 589 is 1
GCD(326, 791, 496, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 791, 496, 589 is 1
GCD(326, 791, 496, 589) = 1
Given Input numbers are 326, 791, 496, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 326, 791, 496, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 791, 496, 589 is 1.
Therefore, GCD of numbers 326, 791, 496, 589 is 1
Given Input Data is 326, 791, 496, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 791 is 7 x 113
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(326, 791) = 257866
GCD(326, 791) = ( 326 x 791 ) / 257866
GCD(326, 791) = 257866 / 257866
GCD(326, 791) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
GCD of 326, 791, 496, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 791, 496, 589?
GCD of 326, 791, 496, 589 is 1
2. Where do I get the detailed procedure to find GCD of 326, 791, 496, 589?
You can find a detailed procedure to find GCD of 326, 791, 496, 589 on our page.
3. How to find GCD of 326, 791, 496, 589 on a calculator?
You can find the GCD of 326, 791, 496, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.