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 668, 589, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 668, 589, 978 is 1
GCD(668, 589, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 589, 978 is 1
GCD(668, 589, 978) = 1
Given Input numbers are 668, 589, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 668, 589, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 589, 978 is 1.
Therefore, GCD of numbers 668, 589, 978 is 1
Given Input Data is 668, 589, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 589 is 19 x 31
Prime Factorization of 978 is 2 x 3 x 163
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(668, 589) = 393452
GCD(668, 589) = ( 668 x 589 ) / 393452
GCD(668, 589) = 393452 / 393452
GCD(668, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 668, 589, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 589, 978?
GCD of 668, 589, 978 is 1
2. Where do I get the detailed procedure to find GCD of 668, 589, 978?
You can find a detailed procedure to find GCD of 668, 589, 978 on our page.
3. How to find GCD of 668, 589, 978 on a calculator?
You can find the GCD of 668, 589, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.