GCD of 912, 729, 789, 350 Calculator

Given Input numbers are 912, 729, 789, 350

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 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 912, 729, 789, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 729, 789, 350 is 1.

Therefore, GCD of numbers 912, 729, 789, 350 is 1

Given Input Data is 912, 729, 789, 350

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 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 789 is 3 x 263

Prime Factorization of 350 is 2 x 5 x 5 x 7

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, 729) = 221616

GCD(912, 729) = ( 912 x 729 ) / 221616

GCD(912, 729) = 664848 / 221616

GCD(912, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 789

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

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

GCD(3, 789) = 2367 / 789

GCD(3, 789) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 350

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

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

GCD(3, 350) = 1050 / 1050

GCD(3, 350) = 1

GCD of 912, 729, 789, 350 is 1

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1. What is the GCD of 912, 729, 789, 350?

GCD of 912, 729, 789, 350 is 1

2. Where do I get the detailed procedure to find GCD of 912, 729, 789, 350?

You can find a detailed procedure to find GCD of 912, 729, 789, 350 on our page.

3. How to find GCD of 912, 729, 789, 350 on a calculator?

You can find the GCD of 912, 729, 789, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.