GCD of 23, 321, 720, 459 Calculator

Given Input numbers are 23, 321, 720, 459

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 23, 321, 720, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 321, 720, 459 is 1.

Therefore, GCD of numbers 23, 321, 720, 459 is 1

Given Input Data is 23, 321, 720, 459

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

Prime Factorization of 23 is 23

Prime Factorization of 321 is 3 x 107

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(23, 321) = 7383

GCD(23, 321) = ( 23 x 321 ) / 7383

GCD(23, 321) = 7383 / 7383

GCD(23, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 23, 321, 720, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 958, 332, 263
• GCD of 82, 942, 658, 256
• GCD of 76, 490, 782, 942
• GCD of 85, 764, 268, 387
• GCD of 28, 360, 908, 735

1. What is the GCD of 23, 321, 720, 459?

GCD of 23, 321, 720, 459 is 1

2. Where do I get the detailed procedure to find GCD of 23, 321, 720, 459?

You can find a detailed procedure to find GCD of 23, 321, 720, 459 on our page.

3. How to find GCD of 23, 321, 720, 459 on a calculator?

You can find the GCD of 23, 321, 720, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.