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, 486, 17, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 486, 17, 133 is 1
GCD(162, 486, 17, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 486, 17, 133 is 1
GCD(162, 486, 17, 133) = 1
Given Input numbers are 162, 486, 17, 133
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 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 162, 486, 17, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 486, 17, 133 is 1.
Therefore, GCD of numbers 162, 486, 17, 133 is 1
Given Input Data is 162, 486, 17, 133
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 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 17 is 17
Prime Factorization of 133 is 7 x 19
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, 486) = 486
GCD(162, 486) = ( 162 x 486 ) / 486
GCD(162, 486) = 78732 / 486
GCD(162, 486) = 162
Step2:
Here we consider the GCD from the above i.e. 162 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(162, 17) = 2754
GCD(162, 17) = ( 162 x 17 ) / 2754
GCD(162, 17) = 2754 / 2754
GCD(162, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 162, 486, 17, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 486, 17, 133?
GCD of 162, 486, 17, 133 is 1
2. Where do I get the detailed procedure to find GCD of 162, 486, 17, 133?
You can find a detailed procedure to find GCD of 162, 486, 17, 133 on our page.
3. How to find GCD of 162, 486, 17, 133 on a calculator?
You can find the GCD of 162, 486, 17, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.