GCD of 912, 696, 22 Calculator

Given Input numbers are 912, 696, 22

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 912, 696, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 696, 22 is 2.

Therefore, GCD of numbers 912, 696, 22 is 2

Given Input Data is 912, 696, 22

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 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 22 is 2 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 696) = 26448

GCD(912, 696) = ( 912 x 696 ) / 26448

GCD(912, 696) = 634752 / 26448

GCD(912, 696) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 22

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

LCM(24, 22) = 264

GCD(24, 22) = ( 24 x 22 ) / 264

GCD(24, 22) = 528 / 264

GCD(24, 22) = 2

GCD of 912, 696, 22 is 2

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1. What is the GCD of 912, 696, 22?

GCD of 912, 696, 22 is 2

2. Where do I get the detailed procedure to find GCD of 912, 696, 22?

You can find a detailed procedure to find GCD of 912, 696, 22 on our page.

3. How to find GCD of 912, 696, 22 on a calculator?

You can find the GCD of 912, 696, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.