GCD of 405, 795, 333, 146 Calculator

Given Input numbers are 405, 795, 333, 146

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 405, 795, 333, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 795, 333, 146 is 1.

Therefore, GCD of numbers 405, 795, 333, 146 is 1

Given Input Data is 405, 795, 333, 146

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 795 is 3 x 5 x 53

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 146 is 2 x 73

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, 795) = 21465

GCD(405, 795) = ( 405 x 795 ) / 21465

GCD(405, 795) = 321975 / 21465

GCD(405, 795) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 333

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

LCM(15, 333) = 1665

GCD(15, 333) = ( 15 x 333 ) / 1665

GCD(15, 333) = 4995 / 1665

GCD(15, 333) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 146

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

LCM(3, 146) = 438

GCD(3, 146) = ( 3 x 146 ) / 438

GCD(3, 146) = 438 / 438

GCD(3, 146) = 1

GCD of 405, 795, 333, 146 is 1

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1. What is the GCD of 405, 795, 333, 146?

GCD of 405, 795, 333, 146 is 1

2. Where do I get the detailed procedure to find GCD of 405, 795, 333, 146?

You can find a detailed procedure to find GCD of 405, 795, 333, 146 on our page.

3. How to find GCD of 405, 795, 333, 146 on a calculator?

You can find the GCD of 405, 795, 333, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.