GCD of 284, 559, 33, 729 Calculator

Given Input numbers are 284, 559, 33, 729

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 33

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

1, 3, 11, 33

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 284, 559, 33, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 559, 33, 729 is 1.

Therefore, GCD of numbers 284, 559, 33, 729 is 1

Given Input Data is 284, 559, 33, 729

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 559 is 13 x 43

Prime Factorization of 33 is 3 x 11

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(284, 559) = 158756

GCD(284, 559) = ( 284 x 559 ) / 158756

GCD(284, 559) = 158756 / 158756

GCD(284, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 284, 559, 33, 729 is 1

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1. What is the GCD of 284, 559, 33, 729?

GCD of 284, 559, 33, 729 is 1

2. Where do I get the detailed procedure to find GCD of 284, 559, 33, 729?

You can find a detailed procedure to find GCD of 284, 559, 33, 729 on our page.

3. How to find GCD of 284, 559, 33, 729 on a calculator?

You can find the GCD of 284, 559, 33, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.