GCD of 816, 218, 14, 513 Calculator

Given Input numbers are 816, 218, 14, 513

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 218

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

1, 2, 109, 218

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 816, 218, 14, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 218, 14, 513 is 1.

Therefore, GCD of numbers 816, 218, 14, 513 is 1

Given Input Data is 816, 218, 14, 513

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 218 is 2 x 109

Prime Factorization of 14 is 2 x 7

Prime Factorization of 513 is 3 x 3 x 3 x 19

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, 218) = 88944

GCD(816, 218) = ( 816 x 218 ) / 88944

GCD(816, 218) = 177888 / 88944

GCD(816, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

GCD of 816, 218, 14, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 421, 79, 176
• GCD of 489, 850, 34, 693
• GCD of 266, 967, 19, 281
• GCD of 410, 918, 62, 310
• GCD of 614, 982, 71, 676

1. What is the GCD of 816, 218, 14, 513?

GCD of 816, 218, 14, 513 is 1

2. Where do I get the detailed procedure to find GCD of 816, 218, 14, 513?

You can find a detailed procedure to find GCD of 816, 218, 14, 513 on our page.

3. How to find GCD of 816, 218, 14, 513 on a calculator?

You can find the GCD of 816, 218, 14, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.