GCD of 296, 363, 872, 361 Calculator

Given Input numbers are 296, 363, 872, 361

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 296, 363, 872, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 363, 872, 361 is 1.

Therefore, GCD of numbers 296, 363, 872, 361 is 1

Given Input Data is 296, 363, 872, 361

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 361 is 19 x 19

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(296, 363) = 107448

GCD(296, 363) = ( 296 x 363 ) / 107448

GCD(296, 363) = 107448 / 107448

GCD(296, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 296, 363, 872, 361 is 1

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1. What is the GCD of 296, 363, 872, 361?

GCD of 296, 363, 872, 361 is 1

2. Where do I get the detailed procedure to find GCD of 296, 363, 872, 361?

You can find a detailed procedure to find GCD of 296, 363, 872, 361 on our page.

3. How to find GCD of 296, 363, 872, 361 on a calculator?

You can find the GCD of 296, 363, 872, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.