GCD of 123, 264, 728 Calculator

Given Input numbers are 123, 264, 728

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 123, 264, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 264, 728 is 1.

Therefore, GCD of numbers 123, 264, 728 is 1

Given Input Data is 123, 264, 728

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(123, 264) = 10824

GCD(123, 264) = ( 123 x 264 ) / 10824

GCD(123, 264) = 32472 / 10824

GCD(123, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 728

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

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

GCD(3, 728) = 2184 / 2184

GCD(3, 728) = 1

GCD of 123, 264, 728 is 1

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1. What is the GCD of 123, 264, 728?

GCD of 123, 264, 728 is 1

2. Where do I get the detailed procedure to find GCD of 123, 264, 728?

You can find a detailed procedure to find GCD of 123, 264, 728 on our page.

3. How to find GCD of 123, 264, 728 on a calculator?

You can find the GCD of 123, 264, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.