GCD of 204, 825, 809, 496 Calculator

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

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• GCD of 185, 676, 802, 606
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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.