GCD of 912, 123, 17, 320 Calculator

Given Input numbers are 912, 123, 17, 320

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 912, 123, 17, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 123, 17, 320 is 1.

Therefore, GCD of numbers 912, 123, 17, 320 is 1

Given Input Data is 912, 123, 17, 320

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 123 is 3 x 41

Prime Factorization of 17 is 17

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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, 123) = 37392

GCD(912, 123) = ( 912 x 123 ) / 37392

GCD(912, 123) = 112176 / 37392

GCD(912, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 912, 123, 17, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 404, 58, 766
• GCD of 392, 548, 16, 168
• GCD of 261, 548, 47, 952
• GCD of 417, 777, 40, 906
• GCD of 522, 312, 94, 468

1. What is the GCD of 912, 123, 17, 320?

GCD of 912, 123, 17, 320 is 1

2. Where do I get the detailed procedure to find GCD of 912, 123, 17, 320?

You can find a detailed procedure to find GCD of 912, 123, 17, 320 on our page.

3. How to find GCD of 912, 123, 17, 320 on a calculator?

You can find the GCD of 912, 123, 17, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.