GCD of 816, 243, 738 Calculator

Given Input numbers are 816, 243, 738

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 816, 243, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 243, 738 is 3.

Therefore, GCD of numbers 816, 243, 738 is 3

Given Input Data is 816, 243, 738

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 243 is 3 x 3 x 3 x 3 x 3

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 243) = 66096

GCD(816, 243) = ( 816 x 243 ) / 66096

GCD(816, 243) = 198288 / 66096

GCD(816, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 738

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

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

GCD(3, 738) = 2214 / 738

GCD(3, 738) = 3

GCD of 816, 243, 738 is 3

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• GCD of 410, 469, 674
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1. What is the GCD of 816, 243, 738?

GCD of 816, 243, 738 is 3

2. Where do I get the detailed procedure to find GCD of 816, 243, 738?

You can find a detailed procedure to find GCD of 816, 243, 738 on our page.

3. How to find GCD of 816, 243, 738 on a calculator?

You can find the GCD of 816, 243, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.