GCD of 904, 738, 912 Calculator

Given Input numbers are 904, 738, 912

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

Greatest Common Divisior

We found the divisors of 904, 738, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 738, 912 is 2.

Therefore, GCD of numbers 904, 738, 912 is 2

Given Input Data is 904, 738, 912

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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(904, 738) = 333576

GCD(904, 738) = ( 904 x 738 ) / 333576

GCD(904, 738) = 667152 / 333576

GCD(904, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 912

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

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

GCD(2, 912) = 1824 / 912

GCD(2, 912) = 2

GCD of 904, 738, 912 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 229, 483
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1. What is the GCD of 904, 738, 912?

GCD of 904, 738, 912 is 2

2. Where do I get the detailed procedure to find GCD of 904, 738, 912?

You can find a detailed procedure to find GCD of 904, 738, 912 on our page.

3. How to find GCD of 904, 738, 912 on a calculator?

You can find the GCD of 904, 738, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.