GCD of 982, 396, 38, 234 Calculator

Given Input numbers are 982, 396, 38, 234

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 38

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

1, 2, 19, 38

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 982, 396, 38, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 396, 38, 234 is 2.

Therefore, GCD of numbers 982, 396, 38, 234 is 2

Given Input Data is 982, 396, 38, 234

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(982, 396) = 194436

GCD(982, 396) = ( 982 x 396 ) / 194436

GCD(982, 396) = 388872 / 194436

GCD(982, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 982, 396, 38, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 576, 74, 397
• GCD of 773, 337, 68, 328
• GCD of 209, 347, 20, 165
• GCD of 727, 127, 52, 961
• GCD of 765, 249, 85, 246

1. What is the GCD of 982, 396, 38, 234?

GCD of 982, 396, 38, 234 is 2

2. Where do I get the detailed procedure to find GCD of 982, 396, 38, 234?

You can find a detailed procedure to find GCD of 982, 396, 38, 234 on our page.

3. How to find GCD of 982, 396, 38, 234 on a calculator?

You can find the GCD of 982, 396, 38, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.