GCD of 38, 208, 594, 382 Calculator

Given Input numbers are 38, 208, 594, 382

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 38, 208, 594, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 208, 594, 382 is 2.

Therefore, GCD of numbers 38, 208, 594, 382 is 2

Given Input Data is 38, 208, 594, 382

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 382 is 2 x 191

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(38, 208) = 3952

GCD(38, 208) = ( 38 x 208 ) / 3952

GCD(38, 208) = 7904 / 3952

GCD(38, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 38, 208, 594, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 478, 643, 886
• GCD of 17, 524, 330, 834
• GCD of 37, 152, 639, 165
• GCD of 19, 801, 159, 917
• GCD of 40, 396, 107, 442

1. What is the GCD of 38, 208, 594, 382?

GCD of 38, 208, 594, 382 is 2

2. Where do I get the detailed procedure to find GCD of 38, 208, 594, 382?

You can find a detailed procedure to find GCD of 38, 208, 594, 382 on our page.

3. How to find GCD of 38, 208, 594, 382 on a calculator?

You can find the GCD of 38, 208, 594, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.