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, 991, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 991, 361 is 1
GCD(189, 991, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 991, 361 is 1
GCD(189, 991, 361) = 1
Given Input numbers are 189, 991, 361
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 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 189, 991, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 991, 361 is 1.
Therefore, GCD of numbers 189, 991, 361 is 1
Given Input Data is 189, 991, 361
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 991 is 991
Prime Factorization of 361 is 19 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(189, 991) = 187299
GCD(189, 991) = ( 189 x 991 ) / 187299
GCD(189, 991) = 187299 / 187299
GCD(189, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 189, 991, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 991, 361?
GCD of 189, 991, 361 is 1
2. Where do I get the detailed procedure to find GCD of 189, 991, 361?
You can find a detailed procedure to find GCD of 189, 991, 361 on our page.
3. How to find GCD of 189, 991, 361 on a calculator?
You can find the GCD of 189, 991, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.