GCD of 405, 549, 999, 393 Calculator

Given Input numbers are 405, 549, 999, 393

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 405, 549, 999, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 549, 999, 393 is 3.

Therefore, GCD of numbers 405, 549, 999, 393 is 3

Given Input Data is 405, 549, 999, 393

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 549 is 3 x 3 x 61

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 393 is 3 x 131

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 549) = 24705

GCD(405, 549) = ( 405 x 549 ) / 24705

GCD(405, 549) = 222345 / 24705

GCD(405, 549) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 999

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

LCM(9, 999) = 999

GCD(9, 999) = ( 9 x 999 ) / 999

GCD(9, 999) = 8991 / 999

GCD(9, 999) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 393

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

LCM(9, 393) = 1179

GCD(9, 393) = ( 9 x 393 ) / 1179

GCD(9, 393) = 3537 / 1179

GCD(9, 393) = 3

GCD of 405, 549, 999, 393 is 3

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1. What is the GCD of 405, 549, 999, 393?

GCD of 405, 549, 999, 393 is 3

2. Where do I get the detailed procedure to find GCD of 405, 549, 999, 393?

You can find a detailed procedure to find GCD of 405, 549, 999, 393 on our page.

3. How to find GCD of 405, 549, 999, 393 on a calculator?

You can find the GCD of 405, 549, 999, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.