GCD of 728, 405, 650 Calculator

Given Input numbers are 728, 405, 650

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 728, 405, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 405, 650 is 1.

Therefore, GCD of numbers 728, 405, 650 is 1

Given Input Data is 728, 405, 650

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 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 650 is 2 x 5 x 5 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(728, 405) = 294840

GCD(728, 405) = ( 728 x 405 ) / 294840

GCD(728, 405) = 294840 / 294840

GCD(728, 405) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 728, 405, 650 is 1

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1. What is the GCD of 728, 405, 650?

GCD of 728, 405, 650 is 1

2. Where do I get the detailed procedure to find GCD of 728, 405, 650?

You can find a detailed procedure to find GCD of 728, 405, 650 on our page.

3. How to find GCD of 728, 405, 650 on a calculator?

You can find the GCD of 728, 405, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.