GCD of 468, 353, 216, 422 Calculator

Given Input numbers are 468, 353, 216, 422

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 468, 353, 216, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 353, 216, 422 is 1.

Therefore, GCD of numbers 468, 353, 216, 422 is 1

Given Input Data is 468, 353, 216, 422

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 353 is 353

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 422 is 2 x 211

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(468, 353) = 165204

GCD(468, 353) = ( 468 x 353 ) / 165204

GCD(468, 353) = 165204 / 165204

GCD(468, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 468, 353, 216, 422 is 1

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1. What is the GCD of 468, 353, 216, 422?

GCD of 468, 353, 216, 422 is 1

2. Where do I get the detailed procedure to find GCD of 468, 353, 216, 422?

You can find a detailed procedure to find GCD of 468, 353, 216, 422 on our page.

3. How to find GCD of 468, 353, 216, 422 on a calculator?

You can find the GCD of 468, 353, 216, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.