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, 320, 591, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 320, 591, 163 is 1
GCD(189, 320, 591, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 320, 591, 163 is 1
GCD(189, 320, 591, 163) = 1
Given Input numbers are 189, 320, 591, 163
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 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 189, 320, 591, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 320, 591, 163 is 1.
Therefore, GCD of numbers 189, 320, 591, 163 is 1
Given Input Data is 189, 320, 591, 163
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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 591 is 3 x 197
Prime Factorization of 163 is 163
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, 320) = 60480
GCD(189, 320) = ( 189 x 320 ) / 60480
GCD(189, 320) = 60480 / 60480
GCD(189, 320) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 163) = 163
GCD(1, 163) = ( 1 x 163 ) / 163
GCD(1, 163) = 163 / 163
GCD(1, 163) = 1
GCD of 189, 320, 591, 163 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 320, 591, 163?
GCD of 189, 320, 591, 163 is 1
2. Where do I get the detailed procedure to find GCD of 189, 320, 591, 163?
You can find a detailed procedure to find GCD of 189, 320, 591, 163 on our page.
3. How to find GCD of 189, 320, 591, 163 on a calculator?
You can find the GCD of 189, 320, 591, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.