GCD of 405, 585, 171, 802 Calculator

Given Input numbers are 405, 585, 171, 802

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 405, 585, 171, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 585, 171, 802 is 1.

Therefore, GCD of numbers 405, 585, 171, 802 is 1

Given Input Data is 405, 585, 171, 802

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 802 is 2 x 401

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(405, 585) = 5265

GCD(405, 585) = ( 405 x 585 ) / 5265

GCD(405, 585) = 236925 / 5265

GCD(405, 585) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 171

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

LCM(45, 171) = 855

GCD(45, 171) = ( 45 x 171 ) / 855

GCD(45, 171) = 7695 / 855

GCD(45, 171) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 802

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

LCM(9, 802) = 7218

GCD(9, 802) = ( 9 x 802 ) / 7218

GCD(9, 802) = 7218 / 7218

GCD(9, 802) = 1

GCD of 405, 585, 171, 802 is 1

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1. What is the GCD of 405, 585, 171, 802?

GCD of 405, 585, 171, 802 is 1

2. Where do I get the detailed procedure to find GCD of 405, 585, 171, 802?

You can find a detailed procedure to find GCD of 405, 585, 171, 802 on our page.

3. How to find GCD of 405, 585, 171, 802 on a calculator?

You can find the GCD of 405, 585, 171, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.