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 19, 189, 323, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 189, 323, 169 is 1
GCD(19, 189, 323, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 189, 323, 169 is 1
GCD(19, 189, 323, 169) = 1
Given Input numbers are 19, 189, 323, 169
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
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 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 19, 189, 323, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 189, 323, 169 is 1.
Therefore, GCD of numbers 19, 189, 323, 169 is 1
Given Input Data is 19, 189, 323, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 323 is 17 x 19
Prime Factorization of 169 is 13 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(19, 189) = 3591
GCD(19, 189) = ( 19 x 189 ) / 3591
GCD(19, 189) = 3591 / 3591
GCD(19, 189) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 19, 189, 323, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 189, 323, 169?
GCD of 19, 189, 323, 169 is 1
2. Where do I get the detailed procedure to find GCD of 19, 189, 323, 169?
You can find a detailed procedure to find GCD of 19, 189, 323, 169 on our page.
3. How to find GCD of 19, 189, 323, 169 on a calculator?
You can find the GCD of 19, 189, 323, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.