GCD of 405, 321, 60 Calculator

Given Input numbers are 405, 321, 60

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 405, 321, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 321, 60 is 3.

Therefore, GCD of numbers 405, 321, 60 is 3

Given Input Data is 405, 321, 60

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 321 is 3 x 107

Prime Factorization of 60 is 2 x 2 x 3 x 5

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, 321) = 43335

GCD(405, 321) = ( 405 x 321 ) / 43335

GCD(405, 321) = 130005 / 43335

GCD(405, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

GCD of 405, 321, 60 is 3

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1. What is the GCD of 405, 321, 60?

GCD of 405, 321, 60 is 3

2. Where do I get the detailed procedure to find GCD of 405, 321, 60?

You can find a detailed procedure to find GCD of 405, 321, 60 on our page.

3. How to find GCD of 405, 321, 60 on a calculator?

You can find the GCD of 405, 321, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.