GCD of 225, 585, 33, 805 Calculator

Given Input numbers are 225, 585, 33, 805

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 225, 585, 33, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 585, 33, 805 is 1.

Therefore, GCD of numbers 225, 585, 33, 805 is 1

Given Input Data is 225, 585, 33, 805

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 33 is 3 x 11

Prime Factorization of 805 is 5 x 7 x 23

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(225, 585) = 2925

GCD(225, 585) = ( 225 x 585 ) / 2925

GCD(225, 585) = 131625 / 2925

GCD(225, 585) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 33

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(45, 33) = 495

GCD(45, 33) = ( 45 x 33 ) / 495

GCD(45, 33) = 1485 / 495

GCD(45, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 805

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 805) = 2415

GCD(3, 805) = ( 3 x 805 ) / 2415

GCD(3, 805) = 2415 / 2415

GCD(3, 805) = 1

GCD of 225, 585, 33, 805 is 1

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1. What is the GCD of 225, 585, 33, 805?

GCD of 225, 585, 33, 805 is 1

2. Where do I get the detailed procedure to find GCD of 225, 585, 33, 805?

You can find a detailed procedure to find GCD of 225, 585, 33, 805 on our page.

3. How to find GCD of 225, 585, 33, 805 on a calculator?

You can find the GCD of 225, 585, 33, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.