GCD of 96, 442, 449, 111 Calculator

Given Input numbers are 96, 442, 449, 111

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 96, 442, 449, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 442, 449, 111 is 1.

Therefore, GCD of numbers 96, 442, 449, 111 is 1

Given Input Data is 96, 442, 449, 111

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 449 is 449

Prime Factorization of 111 is 3 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(96, 442) = 21216

GCD(96, 442) = ( 96 x 442 ) / 21216

GCD(96, 442) = 42432 / 21216

GCD(96, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 96, 442, 449, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 772, 407, 380
• GCD of 50, 777, 484, 345
• GCD of 10, 118, 610, 533
• GCD of 66, 546, 617, 889
• GCD of 46, 240, 796, 243

1. What is the GCD of 96, 442, 449, 111?

GCD of 96, 442, 449, 111 is 1

2. Where do I get the detailed procedure to find GCD of 96, 442, 449, 111?

You can find a detailed procedure to find GCD of 96, 442, 449, 111 on our page.

3. How to find GCD of 96, 442, 449, 111 on a calculator?

You can find the GCD of 96, 442, 449, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.