GCD of 904, 514, 442 Calculator

Given Input numbers are 904, 514, 442

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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 904, 514, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 514, 442 is 2.

Therefore, GCD of numbers 904, 514, 442 is 2

Given Input Data is 904, 514, 442

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 514 is 2 x 257

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(904, 514) = 232328

GCD(904, 514) = ( 904 x 514 ) / 232328

GCD(904, 514) = 464656 / 232328

GCD(904, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

GCD of 904, 514, 442 is 2

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• GCD of 119, 244, 748
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1. What is the GCD of 904, 514, 442?

GCD of 904, 514, 442 is 2

2. Where do I get the detailed procedure to find GCD of 904, 514, 442?

You can find a detailed procedure to find GCD of 904, 514, 442 on our page.

3. How to find GCD of 904, 514, 442 on a calculator?

You can find the GCD of 904, 514, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.