GCD of 250, 493, 50, 728 Calculator

Given Input numbers are 250, 493, 50, 728

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 250, 493, 50, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 493, 50, 728 is 1.

Therefore, GCD of numbers 250, 493, 50, 728 is 1

Given Input Data is 250, 493, 50, 728

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 493 is 17 x 29

Prime Factorization of 50 is 2 x 5 x 5

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(250, 493) = 123250

GCD(250, 493) = ( 250 x 493 ) / 123250

GCD(250, 493) = 123250 / 123250

GCD(250, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 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 250, 493, 50, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 754, 77, 245
• GCD of 285, 132, 16, 332
• GCD of 599, 461, 40, 706
• GCD of 652, 609, 62, 304
• GCD of 280, 262, 20, 781

1. What is the GCD of 250, 493, 50, 728?

GCD of 250, 493, 50, 728 is 1

2. Where do I get the detailed procedure to find GCD of 250, 493, 50, 728?

You can find a detailed procedure to find GCD of 250, 493, 50, 728 on our page.

3. How to find GCD of 250, 493, 50, 728 on a calculator?

You can find the GCD of 250, 493, 50, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.