GCD of 460, 459, 17, 721 Calculator

Given Input numbers are 460, 459, 17, 721

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 459

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

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 460, 459, 17, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 459, 17, 721 is 1.

Therefore, GCD of numbers 460, 459, 17, 721 is 1

Given Input Data is 460, 459, 17, 721

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Prime Factorization of 17 is 17

Prime Factorization of 721 is 7 x 103

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(460, 459) = 211140

GCD(460, 459) = ( 460 x 459 ) / 211140

GCD(460, 459) = 211140 / 211140

GCD(460, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 460, 459, 17, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 302, 36, 793
• GCD of 415, 305, 63, 507
• GCD of 109, 490, 35, 527
• GCD of 771, 731, 71, 504
• GCD of 129, 921, 71, 800

1. What is the GCD of 460, 459, 17, 721?

GCD of 460, 459, 17, 721 is 1

2. Where do I get the detailed procedure to find GCD of 460, 459, 17, 721?

You can find a detailed procedure to find GCD of 460, 459, 17, 721 on our page.

3. How to find GCD of 460, 459, 17, 721 on a calculator?

You can find the GCD of 460, 459, 17, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.