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 204, 825, 809, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 825, 809, 496 is 1
GCD(204, 825, 809, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 825, 809, 496 is 1
GCD(204, 825, 809, 496) = 1
Given Input numbers are 204, 825, 809, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 204, 825, 809, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 825, 809, 496 is 1.
Therefore, GCD of numbers 204, 825, 809, 496 is 1
Given Input Data is 204, 825, 809, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 809 is 809
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(204, 825) = 56100
GCD(204, 825) = ( 204 x 825 ) / 56100
GCD(204, 825) = 168300 / 56100
GCD(204, 825) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 809) = 2427
GCD(3, 809) = ( 3 x 809 ) / 2427
GCD(3, 809) = 2427 / 2427
GCD(3, 809) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 204, 825, 809, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 825, 809, 496?
GCD of 204, 825, 809, 496 is 1
2. Where do I get the detailed procedure to find GCD of 204, 825, 809, 496?
You can find a detailed procedure to find GCD of 204, 825, 809, 496 on our page.
3. How to find GCD of 204, 825, 809, 496 on a calculator?
You can find the GCD of 204, 825, 809, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.