GCD of 216, 514, 17, 319 Calculator

Given Input numbers are 216, 514, 17, 319

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 216, 514, 17, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 514, 17, 319 is 1.

Therefore, GCD of numbers 216, 514, 17, 319 is 1

Given Input Data is 216, 514, 17, 319

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 514 is 2 x 257

Prime Factorization of 17 is 17

Prime Factorization of 319 is 11 x 29

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, 514) = 55512

GCD(216, 514) = ( 216 x 514 ) / 55512

GCD(216, 514) = 111024 / 55512

GCD(216, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 216, 514, 17, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 124, 80, 281
• GCD of 425, 258, 74, 769
• GCD of 675, 599, 81, 190
• GCD of 720, 104, 72, 390
• GCD of 373, 736, 83, 488

1. What is the GCD of 216, 514, 17, 319?

GCD of 216, 514, 17, 319 is 1

2. Where do I get the detailed procedure to find GCD of 216, 514, 17, 319?

You can find a detailed procedure to find GCD of 216, 514, 17, 319 on our page.

3. How to find GCD of 216, 514, 17, 319 on a calculator?

You can find the GCD of 216, 514, 17, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.