GCD of 816, 717, 11, 771 Calculator

Given Input numbers are 816, 717, 11, 771

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 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 816, 717, 11, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 717, 11, 771 is 1.

Therefore, GCD of numbers 816, 717, 11, 771 is 1

Given Input Data is 816, 717, 11, 771

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 717 is 3 x 239

Prime Factorization of 11 is 11

Prime Factorization of 771 is 3 x 257

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, 717) = 195024

GCD(816, 717) = ( 816 x 717 ) / 195024

GCD(816, 717) = 585072 / 195024

GCD(816, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 11

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

LCM(3, 11) = 33

GCD(3, 11) = ( 3 x 11 ) / 33

GCD(3, 11) = 33 / 33

GCD(3, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 816, 717, 11, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 517, 89, 306
• GCD of 976, 982, 55, 968
• GCD of 978, 875, 33, 991
• GCD of 850, 485, 34, 374
• GCD of 192, 384, 12, 939

1. What is the GCD of 816, 717, 11, 771?

GCD of 816, 717, 11, 771 is 1

2. Where do I get the detailed procedure to find GCD of 816, 717, 11, 771?

You can find a detailed procedure to find GCD of 816, 717, 11, 771 on our page.

3. How to find GCD of 816, 717, 11, 771 on a calculator?

You can find the GCD of 816, 717, 11, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.