GCD of 912, 609, 787, 966 Calculator

Given Input numbers are 912, 609, 787, 966

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 912, 609, 787, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 609, 787, 966 is 1.

Therefore, GCD of numbers 912, 609, 787, 966 is 1

Given Input Data is 912, 609, 787, 966

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 609 is 3 x 7 x 29

Prime Factorization of 787 is 787

Prime Factorization of 966 is 2 x 3 x 7 x 23

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, 609) = 185136

GCD(912, 609) = ( 912 x 609 ) / 185136

GCD(912, 609) = 555408 / 185136

GCD(912, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 787

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

LCM(3, 787) = 2361

GCD(3, 787) = ( 3 x 787 ) / 2361

GCD(3, 787) = 2361 / 2361

GCD(3, 787) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 912, 609, 787, 966 is 1

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1. What is the GCD of 912, 609, 787, 966?

GCD of 912, 609, 787, 966 is 1

2. Where do I get the detailed procedure to find GCD of 912, 609, 787, 966?

You can find a detailed procedure to find GCD of 912, 609, 787, 966 on our page.

3. How to find GCD of 912, 609, 787, 966 on a calculator?

You can find the GCD of 912, 609, 787, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.