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 825, 396, 79, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 396, 79, 326 is 1
GCD(825, 396, 79, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 396, 79, 326 is 1
GCD(825, 396, 79, 326) = 1
Given Input numbers are 825, 396, 79, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 825, 396, 79, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 396, 79, 326 is 1.
Therefore, GCD of numbers 825, 396, 79, 326 is 1
Given Input Data is 825, 396, 79, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 79 is 79
Prime Factorization of 326 is 2 x 163
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(825, 396) = 9900
GCD(825, 396) = ( 825 x 396 ) / 9900
GCD(825, 396) = 326700 / 9900
GCD(825, 396) = 33
Step2:
Here we consider the GCD from the above i.e. 33 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(33, 79) = 2607
GCD(33, 79) = ( 33 x 79 ) / 2607
GCD(33, 79) = 2607 / 2607
GCD(33, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 825, 396, 79, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 396, 79, 326?
GCD of 825, 396, 79, 326 is 1
2. Where do I get the detailed procedure to find GCD of 825, 396, 79, 326?
You can find a detailed procedure to find GCD of 825, 396, 79, 326 on our page.
3. How to find GCD of 825, 396, 79, 326 on a calculator?
You can find the GCD of 825, 396, 79, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.