GCD of 396, 318, 46, 404 Calculator

Given Input numbers are 396, 318, 46, 404

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

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 396, 318, 46, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 318, 46, 404 is 2.

Therefore, GCD of numbers 396, 318, 46, 404 is 2

Given Input Data is 396, 318, 46, 404

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

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 46 is 2 x 23

Prime Factorization of 404 is 2 x 2 x 101

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(396, 318) = 20988

GCD(396, 318) = ( 396 x 318 ) / 20988

GCD(396, 318) = 125928 / 20988

GCD(396, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 46

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

LCM(6, 46) = 138

GCD(6, 46) = ( 6 x 46 ) / 138

GCD(6, 46) = 276 / 138

GCD(6, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 396, 318, 46, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 339, 68, 612
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• GCD of 817, 471, 76, 126

1. What is the GCD of 396, 318, 46, 404?

GCD of 396, 318, 46, 404 is 2

2. Where do I get the detailed procedure to find GCD of 396, 318, 46, 404?

You can find a detailed procedure to find GCD of 396, 318, 46, 404 on our page.

3. How to find GCD of 396, 318, 46, 404 on a calculator?

You can find the GCD of 396, 318, 46, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.