GCD of 219, 804, 573, 588 Calculator

Given Input numbers are 219, 804, 573, 588

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 573

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

1, 3, 191, 573

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

Greatest Common Divisior

We found the divisors of 219, 804, 573, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 804, 573, 588 is 3.

Therefore, GCD of numbers 219, 804, 573, 588 is 3

Given Input Data is 219, 804, 573, 588

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 573 is 3 x 191

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

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(219, 804) = 58692

GCD(219, 804) = ( 219 x 804 ) / 58692

GCD(219, 804) = 176076 / 58692

GCD(219, 804) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 573

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

LCM(3, 573) = 573

GCD(3, 573) = ( 3 x 573 ) / 573

GCD(3, 573) = 1719 / 573

GCD(3, 573) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 588

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

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

GCD(3, 588) = 1764 / 588

GCD(3, 588) = 3

GCD of 219, 804, 573, 588 is 3

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1. What is the GCD of 219, 804, 573, 588?

GCD of 219, 804, 573, 588 is 3

2. Where do I get the detailed procedure to find GCD of 219, 804, 573, 588?

You can find a detailed procedure to find GCD of 219, 804, 573, 588 on our page.

3. How to find GCD of 219, 804, 573, 588 on a calculator?

You can find the GCD of 219, 804, 573, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.