GCD of 216, 473, 13, 510 Calculator

Given Input numbers are 216, 473, 13, 510

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

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 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 216, 473, 13, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 473, 13, 510 is 1.

Therefore, GCD of numbers 216, 473, 13, 510 is 1

Given Input Data is 216, 473, 13, 510

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

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 13 is 13

Prime Factorization of 510 is 2 x 3 x 5 x 17

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(216, 473) = 102168

GCD(216, 473) = ( 216 x 473 ) / 102168

GCD(216, 473) = 102168 / 102168

GCD(216, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 216, 473, 13, 510 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 650, 36, 573
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• GCD of 408, 842, 31, 576
• GCD of 245, 593, 58, 474

1. What is the GCD of 216, 473, 13, 510?

GCD of 216, 473, 13, 510 is 1

2. Where do I get the detailed procedure to find GCD of 216, 473, 13, 510?

You can find a detailed procedure to find GCD of 216, 473, 13, 510 on our page.

3. How to find GCD of 216, 473, 13, 510 on a calculator?

You can find the GCD of 216, 473, 13, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.