GCD of 912, 792, 744, 225 Calculator

Given Input numbers are 912, 792, 744, 225

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 912, 792, 744, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 792, 744, 225 is 3.

Therefore, GCD of numbers 912, 792, 744, 225 is 3

Given Input Data is 912, 792, 744, 225

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 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 225 is 3 x 3 x 5 x 5

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, 792) = 30096

GCD(912, 792) = ( 912 x 792 ) / 30096

GCD(912, 792) = 722304 / 30096

GCD(912, 792) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 744

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

LCM(24, 744) = 744

GCD(24, 744) = ( 24 x 744 ) / 744

GCD(24, 744) = 17856 / 744

GCD(24, 744) = 24

Step3:

Here we consider the GCD from the above i.e. 24 as first number and the next as 225

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

LCM(24, 225) = 1800

GCD(24, 225) = ( 24 x 225 ) / 1800

GCD(24, 225) = 5400 / 1800

GCD(24, 225) = 3

GCD of 912, 792, 744, 225 is 3

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1. What is the GCD of 912, 792, 744, 225?

GCD of 912, 792, 744, 225 is 3

2. Where do I get the detailed procedure to find GCD of 912, 792, 744, 225?

You can find a detailed procedure to find GCD of 912, 792, 744, 225 on our page.

3. How to find GCD of 912, 792, 744, 225 on a calculator?

You can find the GCD of 912, 792, 744, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.