GCD of 506, 455, 500, 108 Calculator

Given Input numbers are 506, 455, 500, 108

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

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 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 506, 455, 500, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 455, 500, 108 is 1.

Therefore, GCD of numbers 506, 455, 500, 108 is 1

Given Input Data is 506, 455, 500, 108

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(506, 455) = 230230

GCD(506, 455) = ( 506 x 455 ) / 230230

GCD(506, 455) = 230230 / 230230

GCD(506, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 506, 455, 500, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 638, 560, 459
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1. What is the GCD of 506, 455, 500, 108?

GCD of 506, 455, 500, 108 is 1

2. Where do I get the detailed procedure to find GCD of 506, 455, 500, 108?

You can find a detailed procedure to find GCD of 506, 455, 500, 108 on our page.

3. How to find GCD of 506, 455, 500, 108 on a calculator?

You can find the GCD of 506, 455, 500, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.