GCD of 115, 586, 780, 728 Calculator

Given Input numbers are 115, 586, 780, 728

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 115, 586, 780, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 586, 780, 728 is 1.

Therefore, GCD of numbers 115, 586, 780, 728 is 1

Given Input Data is 115, 586, 780, 728

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 586 is 2 x 293

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(115, 586) = 67390

GCD(115, 586) = ( 115 x 586 ) / 67390

GCD(115, 586) = 67390 / 67390

GCD(115, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 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 115, 586, 780, 728 is 1

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1. What is the GCD of 115, 586, 780, 728?

GCD of 115, 586, 780, 728 is 1

2. Where do I get the detailed procedure to find GCD of 115, 586, 780, 728?

You can find a detailed procedure to find GCD of 115, 586, 780, 728 on our page.

3. How to find GCD of 115, 586, 780, 728 on a calculator?

You can find the GCD of 115, 586, 780, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.