GCD of 405, 366, 493 Calculator

Given Input numbers are 405, 366, 493

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 405, 366, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 366, 493 is 1.

Therefore, GCD of numbers 405, 366, 493 is 1

Given Input Data is 405, 366, 493

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 366 is 2 x 3 x 61

Prime Factorization of 493 is 17 x 29

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, 366) = 49410

GCD(405, 366) = ( 405 x 366 ) / 49410

GCD(405, 366) = 148230 / 49410

GCD(405, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 493

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

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

GCD(3, 493) = 1479 / 1479

GCD(3, 493) = 1

GCD of 405, 366, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 298, 616
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• GCD of 742, 308, 717
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1. What is the GCD of 405, 366, 493?

GCD of 405, 366, 493 is 1

2. Where do I get the detailed procedure to find GCD of 405, 366, 493?

You can find a detailed procedure to find GCD of 405, 366, 493 on our page.

3. How to find GCD of 405, 366, 493 on a calculator?

You can find the GCD of 405, 366, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.