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, 784, 73, 856 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 784, 73, 856 is 1
GCD(396, 784, 73, 856) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 784, 73, 856 is 1
GCD(396, 784, 73, 856) = 1
Given Input numbers are 396, 784, 73, 856
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 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Greatest Common Divisior
We found the divisors of 396, 784, 73, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 784, 73, 856 is 1.
Therefore, GCD of numbers 396, 784, 73, 856 is 1
Given Input Data is 396, 784, 73, 856
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 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 73 is 73
Prime Factorization of 856 is 2 x 2 x 2 x 107
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, 784) = 77616
GCD(396, 784) = ( 396 x 784 ) / 77616
GCD(396, 784) = 310464 / 77616
GCD(396, 784) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 73) = 292
GCD(4, 73) = ( 4 x 73 ) / 292
GCD(4, 73) = 292 / 292
GCD(4, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
GCD of 396, 784, 73, 856 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 784, 73, 856?
GCD of 396, 784, 73, 856 is 1
2. Where do I get the detailed procedure to find GCD of 396, 784, 73, 856?
You can find a detailed procedure to find GCD of 396, 784, 73, 856 on our page.
3. How to find GCD of 396, 784, 73, 856 on a calculator?
You can find the GCD of 396, 784, 73, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.