GCD of 728, 407, 116 Calculator

Given Input numbers are 728, 407, 116

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 728, 407, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 407, 116 is 1.

Therefore, GCD of numbers 728, 407, 116 is 1

Given Input Data is 728, 407, 116

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 407 is 11 x 37

Prime Factorization of 116 is 2 x 2 x 29

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, 407) = 296296

GCD(728, 407) = ( 728 x 407 ) / 296296

GCD(728, 407) = 296296 / 296296

GCD(728, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 728, 407, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 758, 182
• GCD of 468, 573, 170
• GCD of 727, 406, 927
• GCD of 828, 742, 487
• GCD of 754, 329, 825

1. What is the GCD of 728, 407, 116?

GCD of 728, 407, 116 is 1

2. Where do I get the detailed procedure to find GCD of 728, 407, 116?

You can find a detailed procedure to find GCD of 728, 407, 116 on our page.

3. How to find GCD of 728, 407, 116 on a calculator?

You can find the GCD of 728, 407, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.