GCD of 72, 730, 591, 500 Calculator

Given Input numbers are 72, 730, 591, 500

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

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

Greatest Common Divisior

We found the divisors of 72, 730, 591, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 730, 591, 500 is 1.

Therefore, GCD of numbers 72, 730, 591, 500 is 1

Given Input Data is 72, 730, 591, 500

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 591 is 3 x 197

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

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(72, 730) = 26280

GCD(72, 730) = ( 72 x 730 ) / 26280

GCD(72, 730) = 52560 / 26280

GCD(72, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

Step3:

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

GCD of 72, 730, 591, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 183, 592, 204
• GCD of 86, 430, 417, 151
• GCD of 16, 971, 764, 452
• GCD of 68, 723, 606, 999
• GCD of 72, 850, 352, 683

1. What is the GCD of 72, 730, 591, 500?

GCD of 72, 730, 591, 500 is 1

2. Where do I get the detailed procedure to find GCD of 72, 730, 591, 500?

You can find a detailed procedure to find GCD of 72, 730, 591, 500 on our page.

3. How to find GCD of 72, 730, 591, 500 on a calculator?

You can find the GCD of 72, 730, 591, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.