GCD of 912, 315, 824 Calculator

Given Input numbers are 912, 315, 824

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 912, 315, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 315, 824 is 1.

Therefore, GCD of numbers 912, 315, 824 is 1

Given Input Data is 912, 315, 824

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 315) = 95760

GCD(912, 315) = ( 912 x 315 ) / 95760

GCD(912, 315) = 287280 / 95760

GCD(912, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 824

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

LCM(3, 824) = 2472

GCD(3, 824) = ( 3 x 824 ) / 2472

GCD(3, 824) = 2472 / 2472

GCD(3, 824) = 1

GCD of 912, 315, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 544, 223
• GCD of 399, 270, 980
• GCD of 659, 507, 295
• GCD of 222, 790, 817
• GCD of 592, 424, 113

1. What is the GCD of 912, 315, 824?

GCD of 912, 315, 824 is 1

2. Where do I get the detailed procedure to find GCD of 912, 315, 824?

You can find a detailed procedure to find GCD of 912, 315, 824 on our page.

3. How to find GCD of 912, 315, 824 on a calculator?

You can find the GCD of 912, 315, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.