GCD of 32, 484, 906, 396 Calculator

Given Input numbers are 32, 484, 906, 396

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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

Greatest Common Divisior

We found the divisors of 32, 484, 906, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 484, 906, 396 is 2.

Therefore, GCD of numbers 32, 484, 906, 396 is 2

Given Input Data is 32, 484, 906, 396

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 906 is 2 x 3 x 151

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

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(32, 484) = 3872

GCD(32, 484) = ( 32 x 484 ) / 3872

GCD(32, 484) = 15488 / 3872

GCD(32, 484) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 906

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

LCM(4, 906) = 1812

GCD(4, 906) = ( 4 x 906 ) / 1812

GCD(4, 906) = 3624 / 1812

GCD(4, 906) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 32, 484, 906, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 923, 705, 379
• GCD of 12, 287, 107, 362
• GCD of 34, 446, 366, 151
• GCD of 39, 313, 246, 616
• GCD of 27, 930, 906, 664

1. What is the GCD of 32, 484, 906, 396?

GCD of 32, 484, 906, 396 is 2

2. Where do I get the detailed procedure to find GCD of 32, 484, 906, 396?

You can find a detailed procedure to find GCD of 32, 484, 906, 396 on our page.

3. How to find GCD of 32, 484, 906, 396 on a calculator?

You can find the GCD of 32, 484, 906, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.