GCD of 112, 273, 592, 442 Calculator

Given Input numbers are 112, 273, 592, 442

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 112, 273, 592, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 273, 592, 442 is 1.

Therefore, GCD of numbers 112, 273, 592, 442 is 1

Given Input Data is 112, 273, 592, 442

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 442 is 2 x 13 x 17

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(112, 273) = 4368

GCD(112, 273) = ( 112 x 273 ) / 4368

GCD(112, 273) = 30576 / 4368

GCD(112, 273) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 592

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

LCM(7, 592) = 4144

GCD(7, 592) = ( 7 x 592 ) / 4144

GCD(7, 592) = 4144 / 4144

GCD(7, 592) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 112, 273, 592, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 693, 294, 873
• GCD of 875, 191, 152, 704
• GCD of 538, 962, 341, 134
• GCD of 442, 808, 511, 657
• GCD of 104, 952, 386, 663

1. What is the GCD of 112, 273, 592, 442?

GCD of 112, 273, 592, 442 is 1

2. Where do I get the detailed procedure to find GCD of 112, 273, 592, 442?

You can find a detailed procedure to find GCD of 112, 273, 592, 442 on our page.

3. How to find GCD of 112, 273, 592, 442 on a calculator?

You can find the GCD of 112, 273, 592, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.