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 396, 292, 812, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 292, 812, 405 is 1
GCD(396, 292, 812, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 292, 812, 405 is 1
GCD(396, 292, 812, 405) = 1
Given Input numbers are 396, 292, 812, 405
To find the GCD of numbers using factoring list out all the divisors of each number
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 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
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 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 396, 292, 812, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 292, 812, 405 is 1.
Therefore, GCD of numbers 396, 292, 812, 405 is 1
Given Input Data is 396, 292, 812, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
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(396, 292) = 28908
GCD(396, 292) = ( 396 x 292 ) / 28908
GCD(396, 292) = 115632 / 28908
GCD(396, 292) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 812) = 812
GCD(4, 812) = ( 4 x 812 ) / 812
GCD(4, 812) = 3248 / 812
GCD(4, 812) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 405) = 1620
GCD(4, 405) = ( 4 x 405 ) / 1620
GCD(4, 405) = 1620 / 1620
GCD(4, 405) = 1
GCD of 396, 292, 812, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 292, 812, 405?
GCD of 396, 292, 812, 405 is 1
2. Where do I get the detailed procedure to find GCD of 396, 292, 812, 405?
You can find a detailed procedure to find GCD of 396, 292, 812, 405 on our page.
3. How to find GCD of 396, 292, 812, 405 on a calculator?
You can find the GCD of 396, 292, 812, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.