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 369, 445, 191, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 445, 191, 171 is 1
GCD(369, 445, 191, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 445, 191, 171 is 1
GCD(369, 445, 191, 171) = 1
Given Input numbers are 369, 445, 191, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 369, 445, 191, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 445, 191, 171 is 1.
Therefore, GCD of numbers 369, 445, 191, 171 is 1
Given Input Data is 369, 445, 191, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 445 is 5 x 89
Prime Factorization of 191 is 191
Prime Factorization of 171 is 3 x 3 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(369, 445) = 164205
GCD(369, 445) = ( 369 x 445 ) / 164205
GCD(369, 445) = 164205 / 164205
GCD(369, 445) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
GCD(1, 191) = 191 / 191
GCD(1, 191) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 369, 445, 191, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 445, 191, 171?
GCD of 369, 445, 191, 171 is 1
2. Where do I get the detailed procedure to find GCD of 369, 445, 191, 171?
You can find a detailed procedure to find GCD of 369, 445, 191, 171 on our page.
3. How to find GCD of 369, 445, 191, 171 on a calculator?
You can find the GCD of 369, 445, 191, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.