GCD of 704, 442, 12, 844 Calculator

Given Input numbers are 704, 442, 12, 844

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 442

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

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 704, 442, 12, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 442, 12, 844 is 2.

Therefore, GCD of numbers 704, 442, 12, 844 is 2

Given Input Data is 704, 442, 12, 844

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 844 is 2 x 2 x 211

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(704, 442) = 155584

GCD(704, 442) = ( 704 x 442 ) / 155584

GCD(704, 442) = 311168 / 155584

GCD(704, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

GCD of 704, 442, 12, 844 is 2

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1. What is the GCD of 704, 442, 12, 844?

GCD of 704, 442, 12, 844 is 2

2. Where do I get the detailed procedure to find GCD of 704, 442, 12, 844?

You can find a detailed procedure to find GCD of 704, 442, 12, 844 on our page.

3. How to find GCD of 704, 442, 12, 844 on a calculator?

You can find the GCD of 704, 442, 12, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.