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, 904, 41, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 904, 41, 445 is 1
GCD(396, 904, 41, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 904, 41, 445 is 1
GCD(396, 904, 41, 445) = 1
Given Input numbers are 396, 904, 41, 445
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 396, 904, 41, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 904, 41, 445 is 1.
Therefore, GCD of numbers 396, 904, 41, 445 is 1
Given Input Data is 396, 904, 41, 445
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 904 is 2 x 2 x 2 x 113
Prime Factorization of 41 is 41
Prime Factorization of 445 is 5 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(396, 904) = 89496
GCD(396, 904) = ( 396 x 904 ) / 89496
GCD(396, 904) = 357984 / 89496
GCD(396, 904) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 41) = 164
GCD(4, 41) = ( 4 x 41 ) / 164
GCD(4, 41) = 164 / 164
GCD(4, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 445) = 445
GCD(1, 445) = ( 1 x 445 ) / 445
GCD(1, 445) = 445 / 445
GCD(1, 445) = 1
GCD of 396, 904, 41, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 904, 41, 445?
GCD of 396, 904, 41, 445 is 1
2. Where do I get the detailed procedure to find GCD of 396, 904, 41, 445?
You can find a detailed procedure to find GCD of 396, 904, 41, 445 on our page.
3. How to find GCD of 396, 904, 41, 445 on a calculator?
You can find the GCD of 396, 904, 41, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.