GCD of 450, 221, 36, 422 Calculator

Given Input numbers are 450, 221, 36, 422

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 450, 221, 36, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 221, 36, 422 is 1.

Therefore, GCD of numbers 450, 221, 36, 422 is 1

Given Input Data is 450, 221, 36, 422

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 221 is 13 x 17

Prime Factorization of 36 is 2 x 2 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(450, 221) = 99450

GCD(450, 221) = ( 450 x 221 ) / 99450

GCD(450, 221) = 99450 / 99450

GCD(450, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 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 450, 221, 36, 422 is 1

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1. What is the GCD of 450, 221, 36, 422?

GCD of 450, 221, 36, 422 is 1

2. Where do I get the detailed procedure to find GCD of 450, 221, 36, 422?

You can find a detailed procedure to find GCD of 450, 221, 36, 422 on our page.

3. How to find GCD of 450, 221, 36, 422 on a calculator?

You can find the GCD of 450, 221, 36, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.