GCD of 405, 208, 15, 496 Calculator

Given Input numbers are 405, 208, 15, 496

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 405, 208, 15, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 208, 15, 496 is 1.

Therefore, GCD of numbers 405, 208, 15, 496 is 1

Given Input Data is 405, 208, 15, 496

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 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 15 is 3 x 5

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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, 208) = 84240

GCD(405, 208) = ( 405 x 208 ) / 84240

GCD(405, 208) = 84240 / 84240

GCD(405, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 405, 208, 15, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 660, 61, 784
• GCD of 921, 586, 62, 640
• GCD of 992, 446, 37, 873
• GCD of 878, 866, 84, 711
• GCD of 576, 658, 20, 337

1. What is the GCD of 405, 208, 15, 496?

GCD of 405, 208, 15, 496 is 1

2. Where do I get the detailed procedure to find GCD of 405, 208, 15, 496?

You can find a detailed procedure to find GCD of 405, 208, 15, 496 on our page.

3. How to find GCD of 405, 208, 15, 496 on a calculator?

You can find the GCD of 405, 208, 15, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.