GCD of 393, 333, 12, 523 Calculator

Given Input numbers are 393, 333, 12, 523

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 393, 333, 12, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 333, 12, 523 is 1.

Therefore, GCD of numbers 393, 333, 12, 523 is 1

Given Input Data is 393, 333, 12, 523

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 523 is 523

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(393, 333) = 43623

GCD(393, 333) = ( 393 x 333 ) / 43623

GCD(393, 333) = 130869 / 43623

GCD(393, 333) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 523

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

LCM(3, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

GCD(3, 523) = 1569 / 1569

GCD(3, 523) = 1

GCD of 393, 333, 12, 523 is 1

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• GCD of 707, 220, 32, 567
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1. What is the GCD of 393, 333, 12, 523?

GCD of 393, 333, 12, 523 is 1

2. Where do I get the detailed procedure to find GCD of 393, 333, 12, 523?

You can find a detailed procedure to find GCD of 393, 333, 12, 523 on our page.

3. How to find GCD of 393, 333, 12, 523 on a calculator?

You can find the GCD of 393, 333, 12, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.