GCD of 590, 184, 18, 768 Calculator

Given Input numbers are 590, 184, 18, 768

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 590, 184, 18, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 184, 18, 768 is 2.

Therefore, GCD of numbers 590, 184, 18, 768 is 2

Given Input Data is 590, 184, 18, 768

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(590, 184) = 54280

GCD(590, 184) = ( 590 x 184 ) / 54280

GCD(590, 184) = 108560 / 54280

GCD(590, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

GCD of 590, 184, 18, 768 is 2

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1. What is the GCD of 590, 184, 18, 768?

GCD of 590, 184, 18, 768 is 2

2. Where do I get the detailed procedure to find GCD of 590, 184, 18, 768?

You can find a detailed procedure to find GCD of 590, 184, 18, 768 on our page.

3. How to find GCD of 590, 184, 18, 768 on a calculator?

You can find the GCD of 590, 184, 18, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.