GCD of 728, 797, 424, 542 Calculator

Given Input numbers are 728, 797, 424, 542

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

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

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 728, 797, 424, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 797, 424, 542 is 1.

Therefore, GCD of numbers 728, 797, 424, 542 is 1

Given Input Data is 728, 797, 424, 542

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

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

Prime Factorization of 797 is 797

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 542 is 2 x 271

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(728, 797) = 580216

GCD(728, 797) = ( 728 x 797 ) / 580216

GCD(728, 797) = 580216 / 580216

GCD(728, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 728, 797, 424, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 778, 797, 251
• GCD of 295, 361, 419, 470
• GCD of 597, 298, 472, 989
• GCD of 421, 112, 534, 550
• GCD of 673, 908, 317, 308

1. What is the GCD of 728, 797, 424, 542?

GCD of 728, 797, 424, 542 is 1

2. Where do I get the detailed procedure to find GCD of 728, 797, 424, 542?

You can find a detailed procedure to find GCD of 728, 797, 424, 542 on our page.

3. How to find GCD of 728, 797, 424, 542 on a calculator?

You can find the GCD of 728, 797, 424, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.