GCD of 912, 472, 361 Calculator

Given Input numbers are 912, 472, 361

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 912, 472, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 472, 361 is 1.

Therefore, GCD of numbers 912, 472, 361 is 1

Given Input Data is 912, 472, 361

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(912, 472) = 53808

GCD(912, 472) = ( 912 x 472 ) / 53808

GCD(912, 472) = 430464 / 53808

GCD(912, 472) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 361

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

LCM(8, 361) = 2888

GCD(8, 361) = ( 8 x 361 ) / 2888

GCD(8, 361) = 2888 / 2888

GCD(8, 361) = 1

GCD of 912, 472, 361 is 1

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1. What is the GCD of 912, 472, 361?

GCD of 912, 472, 361 is 1

2. Where do I get the detailed procedure to find GCD of 912, 472, 361?

You can find a detailed procedure to find GCD of 912, 472, 361 on our page.

3. How to find GCD of 912, 472, 361 on a calculator?

You can find the GCD of 912, 472, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.