GCD of 687, 216, 12, 511 Calculator

Given Input numbers are 687, 216, 12, 511

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 687, 216, 12, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 216, 12, 511 is 1.

Therefore, GCD of numbers 687, 216, 12, 511 is 1

Given Input Data is 687, 216, 12, 511

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

Prime Factorization of 687 is 3 x 229

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 511 is 7 x 73

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(687, 216) = 49464

GCD(687, 216) = ( 687 x 216 ) / 49464

GCD(687, 216) = 148392 / 49464

GCD(687, 216) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 511

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

LCM(3, 511) = 1533

GCD(3, 511) = ( 3 x 511 ) / 1533

GCD(3, 511) = 1533 / 1533

GCD(3, 511) = 1

GCD of 687, 216, 12, 511 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 446, 47, 741
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• GCD of 498, 908, 57, 708

1. What is the GCD of 687, 216, 12, 511?

GCD of 687, 216, 12, 511 is 1

2. Where do I get the detailed procedure to find GCD of 687, 216, 12, 511?

You can find a detailed procedure to find GCD of 687, 216, 12, 511 on our page.

3. How to find GCD of 687, 216, 12, 511 on a calculator?

You can find the GCD of 687, 216, 12, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.