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 589, 992, 149, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 992, 149, 968 is 1
GCD(589, 992, 149, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 992, 149, 968 is 1
GCD(589, 992, 149, 968) = 1
Given Input numbers are 589, 992, 149, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 589, 992, 149, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 992, 149, 968 is 1.
Therefore, GCD of numbers 589, 992, 149, 968 is 1
Given Input Data is 589, 992, 149, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 149 is 149
Prime Factorization of 968 is 2 x 2 x 2 x 11 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(589, 992) = 18848
GCD(589, 992) = ( 589 x 992 ) / 18848
GCD(589, 992) = 584288 / 18848
GCD(589, 992) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 149) = 4619
GCD(31, 149) = ( 31 x 149 ) / 4619
GCD(31, 149) = 4619 / 4619
GCD(31, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 589, 992, 149, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 589, 992, 149, 968?
GCD of 589, 992, 149, 968 is 1
2. Where do I get the detailed procedure to find GCD of 589, 992, 149, 968?
You can find a detailed procedure to find GCD of 589, 992, 149, 968 on our page.
3. How to find GCD of 589, 992, 149, 968 on a calculator?
You can find the GCD of 589, 992, 149, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.