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 36, 601, 162, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 601, 162, 390 is 1
GCD(36, 601, 162, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 601, 162, 390 is 1
GCD(36, 601, 162, 390) = 1
Given Input numbers are 36, 601, 162, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
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 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 36, 601, 162, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 601, 162, 390 is 1.
Therefore, GCD of numbers 36, 601, 162, 390 is 1
Given Input Data is 36, 601, 162, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 601 is 601
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 390 is 2 x 3 x 5 x 13
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(36, 601) = 21636
GCD(36, 601) = ( 36 x 601 ) / 21636
GCD(36, 601) = 21636 / 21636
GCD(36, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 36, 601, 162, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 601, 162, 390?
GCD of 36, 601, 162, 390 is 1
2. Where do I get the detailed procedure to find GCD of 36, 601, 162, 390?
You can find a detailed procedure to find GCD of 36, 601, 162, 390 on our page.
3. How to find GCD of 36, 601, 162, 390 on a calculator?
You can find the GCD of 36, 601, 162, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.