GCD of 586, 388, 804 Calculator

Given Input numbers are 586, 388, 804

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

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

Greatest Common Divisior

We found the divisors of 586, 388, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 388, 804 is 2.

Therefore, GCD of numbers 586, 388, 804 is 2

Given Input Data is 586, 388, 804

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 388 is 2 x 2 x 97

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(586, 388) = 113684

GCD(586, 388) = ( 586 x 388 ) / 113684

GCD(586, 388) = 227368 / 113684

GCD(586, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 586, 388, 804 is 2

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1. What is the GCD of 586, 388, 804?

GCD of 586, 388, 804 is 2

2. Where do I get the detailed procedure to find GCD of 586, 388, 804?

You can find a detailed procedure to find GCD of 586, 388, 804 on our page.

3. How to find GCD of 586, 388, 804 on a calculator?

You can find the GCD of 586, 388, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.