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, 381, 198, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 381, 198, 569 is 1
GCD(162, 381, 198, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 381, 198, 569 is 1
GCD(162, 381, 198, 569) = 1
Given Input numbers are 162, 381, 198, 569
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 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 162, 381, 198, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 381, 198, 569 is 1.
Therefore, GCD of numbers 162, 381, 198, 569 is 1
Given Input Data is 162, 381, 198, 569
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 381 is 3 x 127
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 569 is 569
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, 381) = 20574
GCD(162, 381) = ( 162 x 381 ) / 20574
GCD(162, 381) = 61722 / 20574
GCD(162, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
GCD(3, 198) = 594 / 198
GCD(3, 198) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 569) = 1707
GCD(3, 569) = ( 3 x 569 ) / 1707
GCD(3, 569) = 1707 / 1707
GCD(3, 569) = 1
GCD of 162, 381, 198, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 381, 198, 569?
GCD of 162, 381, 198, 569 is 1
2. Where do I get the detailed procedure to find GCD of 162, 381, 198, 569?
You can find a detailed procedure to find GCD of 162, 381, 198, 569 on our page.
3. How to find GCD of 162, 381, 198, 569 on a calculator?
You can find the GCD of 162, 381, 198, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.