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, 455, 19, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 455, 19, 221 is 1
GCD(369, 455, 19, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 455, 19, 221 is 1
GCD(369, 455, 19, 221) = 1
Given Input numbers are 369, 455, 19, 221
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 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 369, 455, 19, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 455, 19, 221 is 1.
Therefore, GCD of numbers 369, 455, 19, 221 is 1
Given Input Data is 369, 455, 19, 221
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 455 is 5 x 7 x 13
Prime Factorization of 19 is 19
Prime Factorization of 221 is 13 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(369, 455) = 167895
GCD(369, 455) = ( 369 x 455 ) / 167895
GCD(369, 455) = 167895 / 167895
GCD(369, 455) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 369, 455, 19, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 455, 19, 221?
GCD of 369, 455, 19, 221 is 1
2. Where do I get the detailed procedure to find GCD of 369, 455, 19, 221?
You can find a detailed procedure to find GCD of 369, 455, 19, 221 on our page.
3. How to find GCD of 369, 455, 19, 221 on a calculator?
You can find the GCD of 369, 455, 19, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.