GCD of 728, 231, 516, 579 Calculator

Given Input numbers are 728, 231, 516, 579

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 728, 231, 516, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 231, 516, 579 is 1.

Therefore, GCD of numbers 728, 231, 516, 579 is 1

Given Input Data is 728, 231, 516, 579

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 231 is 3 x 7 x 11

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 579 is 3 x 193

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, 231) = 24024

GCD(728, 231) = ( 728 x 231 ) / 24024

GCD(728, 231) = 168168 / 24024

GCD(728, 231) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 516

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

LCM(7, 516) = 3612

GCD(7, 516) = ( 7 x 516 ) / 3612

GCD(7, 516) = 3612 / 3612

GCD(7, 516) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 728, 231, 516, 579 is 1

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• GCD of 964, 395, 849, 239
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1. What is the GCD of 728, 231, 516, 579?

GCD of 728, 231, 516, 579 is 1

2. Where do I get the detailed procedure to find GCD of 728, 231, 516, 579?

You can find a detailed procedure to find GCD of 728, 231, 516, 579 on our page.

3. How to find GCD of 728, 231, 516, 579 on a calculator?

You can find the GCD of 728, 231, 516, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.