GCD of 246, 462, 36, 398 Calculator

Given Input numbers are 246, 462, 36, 398

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

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 246, 462, 36, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 246, 462, 36, 398 is 2.

Therefore, GCD of numbers 246, 462, 36, 398 is 2

Given Input Data is 246, 462, 36, 398

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

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 398 is 2 x 199

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(246, 462) = 18942

GCD(246, 462) = ( 246 x 462 ) / 18942

GCD(246, 462) = 113652 / 18942

GCD(246, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 398

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

LCM(6, 398) = 1194

GCD(6, 398) = ( 6 x 398 ) / 1194

GCD(6, 398) = 2388 / 1194

GCD(6, 398) = 2

GCD of 246, 462, 36, 398 is 2

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1. What is the GCD of 246, 462, 36, 398?

GCD of 246, 462, 36, 398 is 2

2. Where do I get the detailed procedure to find GCD of 246, 462, 36, 398?

You can find a detailed procedure to find GCD of 246, 462, 36, 398 on our page.

3. How to find GCD of 246, 462, 36, 398 on a calculator?

You can find the GCD of 246, 462, 36, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.