GCD of 304, 582, 51, 728 Calculator

Given Input numbers are 304, 582, 51, 728

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 304, 582, 51, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 582, 51, 728 is 1.

Therefore, GCD of numbers 304, 582, 51, 728 is 1

Given Input Data is 304, 582, 51, 728

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 582 is 2 x 3 x 97

Prime Factorization of 51 is 3 x 17

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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, 582) = 88464

GCD(304, 582) = ( 304 x 582 ) / 88464

GCD(304, 582) = 176928 / 88464

GCD(304, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 304, 582, 51, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 158, 24, 566
• GCD of 716, 774, 22, 320
• GCD of 272, 803, 64, 139
• GCD of 214, 121, 52, 341
• GCD of 237, 451, 92, 361

1. What is the GCD of 304, 582, 51, 728?

GCD of 304, 582, 51, 728 is 1

2. Where do I get the detailed procedure to find GCD of 304, 582, 51, 728?

You can find a detailed procedure to find GCD of 304, 582, 51, 728 on our page.

3. How to find GCD of 304, 582, 51, 728 on a calculator?

You can find the GCD of 304, 582, 51, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.