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 162, 141, 12, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 141, 12, 589 is 1
GCD(162, 141, 12, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 141, 12, 589 is 1
GCD(162, 141, 12, 589) = 1
Given Input numbers are 162, 141, 12, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
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 162, 141, 12, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 141, 12, 589 is 1.
Therefore, GCD of numbers 162, 141, 12, 589 is 1
Given Input Data is 162, 141, 12, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 141 is 3 x 47
Prime Factorization of 12 is 2 x 2 x 3
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(162, 141) = 7614
GCD(162, 141) = ( 162 x 141 ) / 7614
GCD(162, 141) = 22842 / 7614
GCD(162, 141) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
GCD(3, 12) = 36 / 12
GCD(3, 12) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 589) = 1767
GCD(3, 589) = ( 3 x 589 ) / 1767
GCD(3, 589) = 1767 / 1767
GCD(3, 589) = 1
GCD of 162, 141, 12, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 141, 12, 589?
GCD of 162, 141, 12, 589 is 1
2. Where do I get the detailed procedure to find GCD of 162, 141, 12, 589?
You can find a detailed procedure to find GCD of 162, 141, 12, 589 on our page.
3. How to find GCD of 162, 141, 12, 589 on a calculator?
You can find the GCD of 162, 141, 12, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.