GCD of 321, 723, 58, 912 Calculator

Given Input numbers are 321, 723, 58, 912

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 321, 723, 58, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 723, 58, 912 is 1.

Therefore, GCD of numbers 321, 723, 58, 912 is 1

Given Input Data is 321, 723, 58, 912

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 723 is 3 x 241

Prime Factorization of 58 is 2 x 29

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

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(321, 723) = 77361

GCD(321, 723) = ( 321 x 723 ) / 77361

GCD(321, 723) = 232083 / 77361

GCD(321, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 321, 723, 58, 912 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 462, 21, 401
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• GCD of 808, 172, 51, 508
• GCD of 549, 382, 91, 891
• GCD of 106, 444, 36, 785

1. What is the GCD of 321, 723, 58, 912?

GCD of 321, 723, 58, 912 is 1

2. Where do I get the detailed procedure to find GCD of 321, 723, 58, 912?

You can find a detailed procedure to find GCD of 321, 723, 58, 912 on our page.

3. How to find GCD of 321, 723, 58, 912 on a calculator?

You can find the GCD of 321, 723, 58, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.