GCD of 304, 348, 19, 806 Calculator

Given Input numbers are 304, 348, 19, 806

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 304, 348, 19, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 348, 19, 806 is 1.

Therefore, GCD of numbers 304, 348, 19, 806 is 1

Given Input Data is 304, 348, 19, 806

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 19 is 19

Prime Factorization of 806 is 2 x 13 x 31

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(304, 348) = 26448

GCD(304, 348) = ( 304 x 348 ) / 26448

GCD(304, 348) = 105792 / 26448

GCD(304, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 19

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

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

GCD(4, 19) = 76 / 76

GCD(4, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 304, 348, 19, 806 is 1

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1. What is the GCD of 304, 348, 19, 806?

GCD of 304, 348, 19, 806 is 1

2. Where do I get the detailed procedure to find GCD of 304, 348, 19, 806?

You can find a detailed procedure to find GCD of 304, 348, 19, 806 on our page.

3. How to find GCD of 304, 348, 19, 806 on a calculator?

You can find the GCD of 304, 348, 19, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.