GCD of 500, 124, 81, 517 Calculator

Given Input numbers are 500, 124, 81, 517

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

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 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 500, 124, 81, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 124, 81, 517 is 1.

Therefore, GCD of numbers 500, 124, 81, 517 is 1

Given Input Data is 500, 124, 81, 517

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

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 517 is 11 x 47

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(500, 124) = 15500

GCD(500, 124) = ( 500 x 124 ) / 15500

GCD(500, 124) = 62000 / 15500

GCD(500, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 81

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

LCM(4, 81) = 324

GCD(4, 81) = ( 4 x 81 ) / 324

GCD(4, 81) = 324 / 324

GCD(4, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 500, 124, 81, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 823, 29, 860
• GCD of 669, 923, 26, 924
• GCD of 839, 822, 79, 422
• GCD of 370, 341, 18, 546
• GCD of 244, 572, 74, 762

1. What is the GCD of 500, 124, 81, 517?

GCD of 500, 124, 81, 517 is 1

2. Where do I get the detailed procedure to find GCD of 500, 124, 81, 517?

You can find a detailed procedure to find GCD of 500, 124, 81, 517 on our page.

3. How to find GCD of 500, 124, 81, 517 on a calculator?

You can find the GCD of 500, 124, 81, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.