GCD of 573, 561, 459 Calculator

Given Input numbers are 573, 561, 459

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 573, 561, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 561, 459 is 3.

Therefore, GCD of numbers 573, 561, 459 is 3

Given Input Data is 573, 561, 459

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(573, 561) = 107151

GCD(573, 561) = ( 573 x 561 ) / 107151

GCD(573, 561) = 321453 / 107151

GCD(573, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 459

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

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

GCD(3, 459) = 1377 / 459

GCD(3, 459) = 3

GCD of 573, 561, 459 is 3

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1. What is the GCD of 573, 561, 459?

GCD of 573, 561, 459 is 3

2. Where do I get the detailed procedure to find GCD of 573, 561, 459?

You can find a detailed procedure to find GCD of 573, 561, 459 on our page.

3. How to find GCD of 573, 561, 459 on a calculator?

You can find the GCD of 573, 561, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.