GCD of 164, 384, 884, 586 Calculator

Given Input numbers are 164, 384, 884, 586

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 164, 384, 884, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 384, 884, 586 is 2.

Therefore, GCD of numbers 164, 384, 884, 586 is 2

Given Input Data is 164, 384, 884, 586

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 586 is 2 x 293

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(164, 384) = 15744

GCD(164, 384) = ( 164 x 384 ) / 15744

GCD(164, 384) = 62976 / 15744

GCD(164, 384) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 884

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

LCM(4, 884) = 884

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

GCD(4, 884) = 3536 / 884

GCD(4, 884) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 586

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

LCM(4, 586) = 1172

GCD(4, 586) = ( 4 x 586 ) / 1172

GCD(4, 586) = 2344 / 1172

GCD(4, 586) = 2

GCD of 164, 384, 884, 586 is 2

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1. What is the GCD of 164, 384, 884, 586?

GCD of 164, 384, 884, 586 is 2

2. Where do I get the detailed procedure to find GCD of 164, 384, 884, 586?

You can find a detailed procedure to find GCD of 164, 384, 884, 586 on our page.

3. How to find GCD of 164, 384, 884, 586 on a calculator?

You can find the GCD of 164, 384, 884, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.