GCD of 405, 322, 10, 297 Calculator

Given Input numbers are 405, 322, 10, 297

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 405, 322, 10, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 322, 10, 297 is 1.

Therefore, GCD of numbers 405, 322, 10, 297 is 1

Given Input Data is 405, 322, 10, 297

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 322 is 2 x 7 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 297 is 3 x 3 x 3 x 11

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, 322) = 130410

GCD(405, 322) = ( 405 x 322 ) / 130410

GCD(405, 322) = 130410 / 130410

GCD(405, 322) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 405, 322, 10, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 649, 89, 502
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1. What is the GCD of 405, 322, 10, 297?

GCD of 405, 322, 10, 297 is 1

2. Where do I get the detailed procedure to find GCD of 405, 322, 10, 297?

You can find a detailed procedure to find GCD of 405, 322, 10, 297 on our page.

3. How to find GCD of 405, 322, 10, 297 on a calculator?

You can find the GCD of 405, 322, 10, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.