GCD of 32, 255, 506, 721 Calculator

Given Input numbers are 32, 255, 506, 721

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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 32, 255, 506, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 255, 506, 721 is 1.

Therefore, GCD of numbers 32, 255, 506, 721 is 1

Given Input Data is 32, 255, 506, 721

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 506 is 2 x 11 x 23

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(32, 255) = 8160

GCD(32, 255) = ( 32 x 255 ) / 8160

GCD(32, 255) = 8160 / 8160

GCD(32, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 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 32, 255, 506, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 569, 299, 394
• GCD of 88, 787, 669, 609
• GCD of 45, 538, 970, 588
• GCD of 77, 405, 516, 637
• GCD of 94, 781, 294, 910

1. What is the GCD of 32, 255, 506, 721?

GCD of 32, 255, 506, 721 is 1

2. Where do I get the detailed procedure to find GCD of 32, 255, 506, 721?

You can find a detailed procedure to find GCD of 32, 255, 506, 721 on our page.

3. How to find GCD of 32, 255, 506, 721 on a calculator?

You can find the GCD of 32, 255, 506, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.