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 819, 505, 15, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 505, 15, 367 is 1
GCD(819, 505, 15, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 505, 15, 367 is 1
GCD(819, 505, 15, 367) = 1
Given Input numbers are 819, 505, 15, 367
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 819, 505, 15, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 505, 15, 367 is 1.
Therefore, GCD of numbers 819, 505, 15, 367 is 1
Given Input Data is 819, 505, 15, 367
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 505 is 5 x 101
Prime Factorization of 15 is 3 x 5
Prime Factorization of 367 is 367
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(819, 505) = 413595
GCD(819, 505) = ( 819 x 505 ) / 413595
GCD(819, 505) = 413595 / 413595
GCD(819, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 819, 505, 15, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 505, 15, 367?
GCD of 819, 505, 15, 367 is 1
2. Where do I get the detailed procedure to find GCD of 819, 505, 15, 367?
You can find a detailed procedure to find GCD of 819, 505, 15, 367 on our page.
3. How to find GCD of 819, 505, 15, 367 on a calculator?
You can find the GCD of 819, 505, 15, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.