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 36, 396, 839, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 396, 839, 696 is 1
GCD(36, 396, 839, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 396, 839, 696 is 1
GCD(36, 396, 839, 696) = 1
Given Input numbers are 36, 396, 839, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 36, 396, 839, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 396, 839, 696 is 1.
Therefore, GCD of numbers 36, 396, 839, 696 is 1
Given Input Data is 36, 396, 839, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 839 is 839
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(36, 396) = 396
GCD(36, 396) = ( 36 x 396 ) / 396
GCD(36, 396) = 14256 / 396
GCD(36, 396) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 839) = 30204
GCD(36, 839) = ( 36 x 839 ) / 30204
GCD(36, 839) = 30204 / 30204
GCD(36, 839) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 36, 396, 839, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 396, 839, 696?
GCD of 36, 396, 839, 696 is 1
2. Where do I get the detailed procedure to find GCD of 36, 396, 839, 696?
You can find a detailed procedure to find GCD of 36, 396, 839, 696 on our page.
3. How to find GCD of 36, 396, 839, 696 on a calculator?
You can find the GCD of 36, 396, 839, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.