GCD of 458, 472, 33, 406 Calculator

Given Input numbers are 458, 472, 33, 406

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 458, 472, 33, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 472, 33, 406 is 1.

Therefore, GCD of numbers 458, 472, 33, 406 is 1

Given Input Data is 458, 472, 33, 406

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 33 is 3 x 11

Prime Factorization of 406 is 2 x 7 x 29

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(458, 472) = 108088

GCD(458, 472) = ( 458 x 472 ) / 108088

GCD(458, 472) = 216176 / 108088

GCD(458, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 458, 472, 33, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 130, 18, 785
• GCD of 228, 270, 56, 209
• GCD of 789, 702, 71, 434
• GCD of 619, 811, 22, 376
• GCD of 518, 890, 15, 513

1. What is the GCD of 458, 472, 33, 406?

GCD of 458, 472, 33, 406 is 1

2. Where do I get the detailed procedure to find GCD of 458, 472, 33, 406?

You can find a detailed procedure to find GCD of 458, 472, 33, 406 on our page.

3. How to find GCD of 458, 472, 33, 406 on a calculator?

You can find the GCD of 458, 472, 33, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.