GCD of 442, 884, 206 Calculator

Given Input numbers are 442, 884, 206

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 442, 884, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 884, 206 is 2.

Therefore, GCD of numbers 442, 884, 206 is 2

Given Input Data is 442, 884, 206

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 884 is 2 x 2 x 13 x 17

Prime Factorization of 206 is 2 x 103

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, 884) = 884

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

GCD(442, 884) = 390728 / 884

GCD(442, 884) = 442

Step2:

Here we consider the GCD from the above i.e. 442 as first number and the next as 206

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

LCM(442, 206) = 45526

GCD(442, 206) = ( 442 x 206 ) / 45526

GCD(442, 206) = 91052 / 45526

GCD(442, 206) = 2

GCD of 442, 884, 206 is 2

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1. What is the GCD of 442, 884, 206?

GCD of 442, 884, 206 is 2

2. Where do I get the detailed procedure to find GCD of 442, 884, 206?

You can find a detailed procedure to find GCD of 442, 884, 206 on our page.

3. How to find GCD of 442, 884, 206 on a calculator?

You can find the GCD of 442, 884, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.