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 505, 396, 812, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 396, 812, 623 is 1
GCD(505, 396, 812, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 396, 812, 623 is 1
GCD(505, 396, 812, 623) = 1
Given Input numbers are 505, 396, 812, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 505, 396, 812, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 396, 812, 623 is 1.
Therefore, GCD of numbers 505, 396, 812, 623 is 1
Given Input Data is 505, 396, 812, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 623 is 7 x 89
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(505, 396) = 199980
GCD(505, 396) = ( 505 x 396 ) / 199980
GCD(505, 396) = 199980 / 199980
GCD(505, 396) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 505, 396, 812, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 396, 812, 623?
GCD of 505, 396, 812, 623 is 1
2. Where do I get the detailed procedure to find GCD of 505, 396, 812, 623?
You can find a detailed procedure to find GCD of 505, 396, 812, 623 on our page.
3. How to find GCD of 505, 396, 812, 623 on a calculator?
You can find the GCD of 505, 396, 812, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.