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 189, 156, 73, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 156, 73, 561 is 1
GCD(189, 156, 73, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 156, 73, 561 is 1
GCD(189, 156, 73, 561) = 1
Given Input numbers are 189, 156, 73, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 189, 156, 73, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 156, 73, 561 is 1.
Therefore, GCD of numbers 189, 156, 73, 561 is 1
Given Input Data is 189, 156, 73, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 73 is 73
Prime Factorization of 561 is 3 x 11 x 17
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(189, 156) = 9828
GCD(189, 156) = ( 189 x 156 ) / 9828
GCD(189, 156) = 29484 / 9828
GCD(189, 156) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 73) = 219
GCD(3, 73) = ( 3 x 73 ) / 219
GCD(3, 73) = 219 / 219
GCD(3, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 189, 156, 73, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 156, 73, 561?
GCD of 189, 156, 73, 561 is 1
2. Where do I get the detailed procedure to find GCD of 189, 156, 73, 561?
You can find a detailed procedure to find GCD of 189, 156, 73, 561 on our page.
3. How to find GCD of 189, 156, 73, 561 on a calculator?
You can find the GCD of 189, 156, 73, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.