GCD of 806, 816, 738 Calculator

Given Input numbers are 806, 816, 738

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 806, 816, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 816, 738 is 2.

Therefore, GCD of numbers 806, 816, 738 is 2

Given Input Data is 806, 816, 738

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 738 is 2 x 3 x 3 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(806, 816) = 328848

GCD(806, 816) = ( 806 x 816 ) / 328848

GCD(806, 816) = 657696 / 328848

GCD(806, 816) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 806, 816, 738 is 2

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1. What is the GCD of 806, 816, 738?

GCD of 806, 816, 738 is 2

2. Where do I get the detailed procedure to find GCD of 806, 816, 738?

You can find a detailed procedure to find GCD of 806, 816, 738 on our page.

3. How to find GCD of 806, 816, 738 on a calculator?

You can find the GCD of 806, 816, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.