GCD of 912, 888, 129, 219 Calculator

Given Input numbers are 912, 888, 129, 219

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 912, 888, 129, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 888, 129, 219 is 3.

Therefore, GCD of numbers 912, 888, 129, 219 is 3

Given Input Data is 912, 888, 129, 219

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 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 129 is 3 x 43

Prime Factorization of 219 is 3 x 73

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 888) = 33744

GCD(912, 888) = ( 912 x 888 ) / 33744

GCD(912, 888) = 809856 / 33744

GCD(912, 888) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 129

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

LCM(24, 129) = 1032

GCD(24, 129) = ( 24 x 129 ) / 1032

GCD(24, 129) = 3096 / 1032

GCD(24, 129) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 219

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

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

GCD(3, 219) = 657 / 219

GCD(3, 219) = 3

GCD of 912, 888, 129, 219 is 3

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1. What is the GCD of 912, 888, 129, 219?

GCD of 912, 888, 129, 219 is 3

2. Where do I get the detailed procedure to find GCD of 912, 888, 129, 219?

You can find a detailed procedure to find GCD of 912, 888, 129, 219 on our page.

3. How to find GCD of 912, 888, 129, 219 on a calculator?

You can find the GCD of 912, 888, 129, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.