GCD of 816, 994, 288 Calculator

Given Input numbers are 816, 994, 288

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 816, 994, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 994, 288 is 2.

Therefore, GCD of numbers 816, 994, 288 is 2

Given Input Data is 816, 994, 288

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 994 is 2 x 7 x 71

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(816, 994) = 405552

GCD(816, 994) = ( 816 x 994 ) / 405552

GCD(816, 994) = 811104 / 405552

GCD(816, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 816, 994, 288 is 2

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• GCD of 155, 375, 434
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1. What is the GCD of 816, 994, 288?

GCD of 816, 994, 288 is 2

2. Where do I get the detailed procedure to find GCD of 816, 994, 288?

You can find a detailed procedure to find GCD of 816, 994, 288 on our page.

3. How to find GCD of 816, 994, 288 on a calculator?

You can find the GCD of 816, 994, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.