GCD of 738, 992, 12, 303 Calculator

Given Input numbers are 738, 992, 12, 303

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

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 738, 992, 12, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 992, 12, 303 is 1.

Therefore, GCD of numbers 738, 992, 12, 303 is 1

Given Input Data is 738, 992, 12, 303

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

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 303 is 3 x 101

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(738, 992) = 366048

GCD(738, 992) = ( 738 x 992 ) / 366048

GCD(738, 992) = 732096 / 366048

GCD(738, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 303

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

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

GCD(2, 303) = 606 / 606

GCD(2, 303) = 1

GCD of 738, 992, 12, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 518, 34, 693
• GCD of 310, 678, 33, 481
• GCD of 437, 964, 27, 161
• GCD of 606, 981, 27, 442
• GCD of 765, 577, 33, 241

1. What is the GCD of 738, 992, 12, 303?

GCD of 738, 992, 12, 303 is 1

2. Where do I get the detailed procedure to find GCD of 738, 992, 12, 303?

You can find a detailed procedure to find GCD of 738, 992, 12, 303 on our page.

3. How to find GCD of 738, 992, 12, 303 on a calculator?

You can find the GCD of 738, 992, 12, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.