GCD of 218, 570, 36, 825 Calculator

Given Input numbers are 218, 570, 36, 825

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 218, 570, 36, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 570, 36, 825 is 1.

Therefore, GCD of numbers 218, 570, 36, 825 is 1

Given Input Data is 218, 570, 36, 825

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(218, 570) = 62130

GCD(218, 570) = ( 218 x 570 ) / 62130

GCD(218, 570) = 124260 / 62130

GCD(218, 570) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 218, 570, 36, 825 is 1

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1. What is the GCD of 218, 570, 36, 825?

GCD of 218, 570, 36, 825 is 1

2. Where do I get the detailed procedure to find GCD of 218, 570, 36, 825?

You can find a detailed procedure to find GCD of 218, 570, 36, 825 on our page.

3. How to find GCD of 218, 570, 36, 825 on a calculator?

You can find the GCD of 218, 570, 36, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.