GCD of 432, 449, 493, 228 Calculator

Given Input numbers are 432, 449, 493, 228

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 432, 449, 493, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 449, 493, 228 is 1.

Therefore, GCD of numbers 432, 449, 493, 228 is 1

Given Input Data is 432, 449, 493, 228

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 449 is 449

Prime Factorization of 493 is 17 x 29

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(432, 449) = 193968

GCD(432, 449) = ( 432 x 449 ) / 193968

GCD(432, 449) = 193968 / 193968

GCD(432, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 432, 449, 493, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 523, 701, 699
• GCD of 612, 336, 515, 345
• GCD of 216, 719, 270, 339
• GCD of 231, 769, 194, 630
• GCD of 862, 580, 363, 516

1. What is the GCD of 432, 449, 493, 228?

GCD of 432, 449, 493, 228 is 1

2. Where do I get the detailed procedure to find GCD of 432, 449, 493, 228?

You can find a detailed procedure to find GCD of 432, 449, 493, 228 on our page.

3. How to find GCD of 432, 449, 493, 228 on a calculator?

You can find the GCD of 432, 449, 493, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.