GCD of 396, 928, 46, 636 Calculator

Given Input numbers are 396, 928, 46, 636

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 46

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

1, 2, 23, 46

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 396, 928, 46, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 928, 46, 636 is 2.

Therefore, GCD of numbers 396, 928, 46, 636 is 2

Given Input Data is 396, 928, 46, 636

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 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 46 is 2 x 23

Prime Factorization of 636 is 2 x 2 x 3 x 53

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, 928) = 91872

GCD(396, 928) = ( 396 x 928 ) / 91872

GCD(396, 928) = 367488 / 91872

GCD(396, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 46

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

LCM(4, 46) = 92

GCD(4, 46) = ( 4 x 46 ) / 92

GCD(4, 46) = 184 / 92

GCD(4, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 396, 928, 46, 636 is 2

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1. What is the GCD of 396, 928, 46, 636?

GCD of 396, 928, 46, 636 is 2

2. Where do I get the detailed procedure to find GCD of 396, 928, 46, 636?

You can find a detailed procedure to find GCD of 396, 928, 46, 636 on our page.

3. How to find GCD of 396, 928, 46, 636 on a calculator?

You can find the GCD of 396, 928, 46, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.