GCD of 728, 365, 501, 873 Calculator

Given Input numbers are 728, 365, 501, 873

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 728, 365, 501, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 365, 501, 873 is 1.

Therefore, GCD of numbers 728, 365, 501, 873 is 1

Given Input Data is 728, 365, 501, 873

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 365 is 5 x 73

Prime Factorization of 501 is 3 x 167

Prime Factorization of 873 is 3 x 3 x 97

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, 365) = 265720

GCD(728, 365) = ( 728 x 365 ) / 265720

GCD(728, 365) = 265720 / 265720

GCD(728, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

GCD of 728, 365, 501, 873 is 1

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1. What is the GCD of 728, 365, 501, 873?

GCD of 728, 365, 501, 873 is 1

2. Where do I get the detailed procedure to find GCD of 728, 365, 501, 873?

You can find a detailed procedure to find GCD of 728, 365, 501, 873 on our page.

3. How to find GCD of 728, 365, 501, 873 on a calculator?

You can find the GCD of 728, 365, 501, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.