GCD of 595, 660, 216, 500 Calculator

Given Input numbers are 595, 660, 216, 500

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 595, 660, 216, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 660, 216, 500 is 1.

Therefore, GCD of numbers 595, 660, 216, 500 is 1

Given Input Data is 595, 660, 216, 500

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(595, 660) = 78540

GCD(595, 660) = ( 595 x 660 ) / 78540

GCD(595, 660) = 392700 / 78540

GCD(595, 660) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 216

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

LCM(5, 216) = 1080

GCD(5, 216) = ( 5 x 216 ) / 1080

GCD(5, 216) = 1080 / 1080

GCD(5, 216) = 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 595, 660, 216, 500 is 1

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1. What is the GCD of 595, 660, 216, 500?

GCD of 595, 660, 216, 500 is 1

2. Where do I get the detailed procedure to find GCD of 595, 660, 216, 500?

You can find a detailed procedure to find GCD of 595, 660, 216, 500 on our page.

3. How to find GCD of 595, 660, 216, 500 on a calculator?

You can find the GCD of 595, 660, 216, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.