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 442, 403, 11, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 403, 11, 819 is 1
GCD(442, 403, 11, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 403, 11, 819 is 1
GCD(442, 403, 11, 819) = 1
Given Input numbers are 442, 403, 11, 819
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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
Greatest Common Divisior
We found the divisors of 442, 403, 11, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 403, 11, 819 is 1.
Therefore, GCD of numbers 442, 403, 11, 819 is 1
Given Input Data is 442, 403, 11, 819
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 403 is 13 x 31
Prime Factorization of 11 is 11
Prime Factorization of 819 is 3 x 3 x 7 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(442, 403) = 13702
GCD(442, 403) = ( 442 x 403 ) / 13702
GCD(442, 403) = 178126 / 13702
GCD(442, 403) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 11) = 143
GCD(13, 11) = ( 13 x 11 ) / 143
GCD(13, 11) = 143 / 143
GCD(13, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 819) = 819
GCD(1, 819) = ( 1 x 819 ) / 819
GCD(1, 819) = 819 / 819
GCD(1, 819) = 1
GCD of 442, 403, 11, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 403, 11, 819?
GCD of 442, 403, 11, 819 is 1
2. Where do I get the detailed procedure to find GCD of 442, 403, 11, 819?
You can find a detailed procedure to find GCD of 442, 403, 11, 819 on our page.
3. How to find GCD of 442, 403, 11, 819 on a calculator?
You can find the GCD of 442, 403, 11, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.