GCD of 16, 636, 816, 442 Calculator

Given Input numbers are 16, 636, 816, 442

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 16, 636, 816, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 636, 816, 442 is 2.

Therefore, GCD of numbers 16, 636, 816, 442 is 2

Given Input Data is 16, 636, 816, 442

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Prime Factorization of 442 is 2 x 13 x 17

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(16, 636) = 2544

GCD(16, 636) = ( 16 x 636 ) / 2544

GCD(16, 636) = 10176 / 2544

GCD(16, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 816

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

LCM(4, 816) = 816

GCD(4, 816) = ( 4 x 816 ) / 816

GCD(4, 816) = 3264 / 816

GCD(4, 816) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 442

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

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

GCD(4, 442) = 1768 / 884

GCD(4, 442) = 2

GCD of 16, 636, 816, 442 is 2

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• GCD of 84, 305, 457, 788
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1. What is the GCD of 16, 636, 816, 442?

GCD of 16, 636, 816, 442 is 2

2. Where do I get the detailed procedure to find GCD of 16, 636, 816, 442?

You can find a detailed procedure to find GCD of 16, 636, 816, 442 on our page.

3. How to find GCD of 16, 636, 816, 442 on a calculator?

You can find the GCD of 16, 636, 816, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.