GCD of 405, 784, 162 Calculator

Given Input numbers are 405, 784, 162

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 405, 784, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 784, 162 is 1.

Therefore, GCD of numbers 405, 784, 162 is 1

Given Input Data is 405, 784, 162

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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, 784) = 317520

GCD(405, 784) = ( 405 x 784 ) / 317520

GCD(405, 784) = 317520 / 317520

GCD(405, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 405, 784, 162 is 1

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1. What is the GCD of 405, 784, 162?

GCD of 405, 784, 162 is 1

2. Where do I get the detailed procedure to find GCD of 405, 784, 162?

You can find a detailed procedure to find GCD of 405, 784, 162 on our page.

3. How to find GCD of 405, 784, 162 on a calculator?

You can find the GCD of 405, 784, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.