GCD of 804, 230, 386, 806 Calculator

Given Input numbers are 804, 230, 386, 806

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

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 804, 230, 386, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 230, 386, 806 is 2.

Therefore, GCD of numbers 804, 230, 386, 806 is 2

Given Input Data is 804, 230, 386, 806

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

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 386 is 2 x 193

Prime Factorization of 806 is 2 x 13 x 31

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(804, 230) = 92460

GCD(804, 230) = ( 804 x 230 ) / 92460

GCD(804, 230) = 184920 / 92460

GCD(804, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 804, 230, 386, 806 is 2

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1. What is the GCD of 804, 230, 386, 806?

GCD of 804, 230, 386, 806 is 2

2. Where do I get the detailed procedure to find GCD of 804, 230, 386, 806?

You can find a detailed procedure to find GCD of 804, 230, 386, 806 on our page.

3. How to find GCD of 804, 230, 386, 806 on a calculator?

You can find the GCD of 804, 230, 386, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.