GCD of 816, 530, 53, 213 Calculator

Given Input numbers are 816, 530, 53, 213

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 816, 530, 53, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 530, 53, 213 is 1.

Therefore, GCD of numbers 816, 530, 53, 213 is 1

Given Input Data is 816, 530, 53, 213

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 53 is 53

Prime Factorization of 213 is 3 x 71

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(816, 530) = 216240

GCD(816, 530) = ( 816 x 530 ) / 216240

GCD(816, 530) = 432480 / 216240

GCD(816, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 816, 530, 53, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 165, 81, 878
• GCD of 777, 637, 77, 537
• GCD of 882, 755, 82, 198
• GCD of 667, 110, 53, 927
• GCD of 306, 307, 97, 710

1. What is the GCD of 816, 530, 53, 213?

GCD of 816, 530, 53, 213 is 1

2. Where do I get the detailed procedure to find GCD of 816, 530, 53, 213?

You can find a detailed procedure to find GCD of 816, 530, 53, 213 on our page.

3. How to find GCD of 816, 530, 53, 213 on a calculator?

You can find the GCD of 816, 530, 53, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.