GCD of 576, 588, 72, 473 Calculator

Given Input numbers are 576, 588, 72, 473

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 576, 588, 72, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 588, 72, 473 is 1.

Therefore, GCD of numbers 576, 588, 72, 473 is 1

Given Input Data is 576, 588, 72, 473

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 473 is 11 x 43

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(576, 588) = 28224

GCD(576, 588) = ( 576 x 588 ) / 28224

GCD(576, 588) = 338688 / 28224

GCD(576, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 72

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

LCM(12, 72) = 72

GCD(12, 72) = ( 12 x 72 ) / 72

GCD(12, 72) = 864 / 72

GCD(12, 72) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 473

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

LCM(12, 473) = 5676

GCD(12, 473) = ( 12 x 473 ) / 5676

GCD(12, 473) = 5676 / 5676

GCD(12, 473) = 1

GCD of 576, 588, 72, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 313, 48, 699
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• GCD of 521, 325, 27, 295
• GCD of 218, 998, 94, 144
• GCD of 569, 821, 33, 208

1. What is the GCD of 576, 588, 72, 473?

GCD of 576, 588, 72, 473 is 1

2. Where do I get the detailed procedure to find GCD of 576, 588, 72, 473?

You can find a detailed procedure to find GCD of 576, 588, 72, 473 on our page.

3. How to find GCD of 576, 588, 72, 473 on a calculator?

You can find the GCD of 576, 588, 72, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.