GCD of 442, 608, 836, 728 Calculator

Given Input numbers are 442, 608, 836, 728

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

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 442, 608, 836, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 608, 836, 728 is 2.

Therefore, GCD of numbers 442, 608, 836, 728 is 2

Given Input Data is 442, 608, 836, 728

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(442, 608) = 134368

GCD(442, 608) = ( 442 x 608 ) / 134368

GCD(442, 608) = 268736 / 134368

GCD(442, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 836

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

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

GCD(2, 836) = 1672 / 836

GCD(2, 836) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 442, 608, 836, 728 is 2

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1. What is the GCD of 442, 608, 836, 728?

GCD of 442, 608, 836, 728 is 2

2. Where do I get the detailed procedure to find GCD of 442, 608, 836, 728?

You can find a detailed procedure to find GCD of 442, 608, 836, 728 on our page.

3. How to find GCD of 442, 608, 836, 728 on a calculator?

You can find the GCD of 442, 608, 836, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.