GCD of 36, 904, 446, 382 Calculator

Given Input numbers are 36, 904, 446, 382

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

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 36, 904, 446, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 904, 446, 382 is 2.

Therefore, GCD of numbers 36, 904, 446, 382 is 2

Given Input Data is 36, 904, 446, 382

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

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 446 is 2 x 223

Prime Factorization of 382 is 2 x 191

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(36, 904) = 8136

GCD(36, 904) = ( 36 x 904 ) / 8136

GCD(36, 904) = 32544 / 8136

GCD(36, 904) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 446

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

LCM(4, 446) = 892

GCD(4, 446) = ( 4 x 446 ) / 892

GCD(4, 446) = 1784 / 892

GCD(4, 446) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 36, 904, 446, 382 is 2

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1. What is the GCD of 36, 904, 446, 382?

GCD of 36, 904, 446, 382 is 2

2. Where do I get the detailed procedure to find GCD of 36, 904, 446, 382?

You can find a detailed procedure to find GCD of 36, 904, 446, 382 on our page.

3. How to find GCD of 36, 904, 446, 382 on a calculator?

You can find the GCD of 36, 904, 446, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.