GCD of 12, 702, 334, 303 Calculator

Given Input numbers are 12, 702, 334, 303

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

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 12, 702, 334, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 702, 334, 303 is 1.

Therefore, GCD of numbers 12, 702, 334, 303 is 1

Given Input Data is 12, 702, 334, 303

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 334 is 2 x 167

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(12, 702) = 1404

GCD(12, 702) = ( 12 x 702 ) / 1404

GCD(12, 702) = 8424 / 1404

GCD(12, 702) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 334

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

LCM(6, 334) = 1002

GCD(6, 334) = ( 6 x 334 ) / 1002

GCD(6, 334) = 2004 / 1002

GCD(6, 334) = 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 12, 702, 334, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 794, 116, 347
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• GCD of 36, 775, 986, 823

1. What is the GCD of 12, 702, 334, 303?

GCD of 12, 702, 334, 303 is 1

2. Where do I get the detailed procedure to find GCD of 12, 702, 334, 303?

You can find a detailed procedure to find GCD of 12, 702, 334, 303 on our page.

3. How to find GCD of 12, 702, 334, 303 on a calculator?

You can find the GCD of 12, 702, 334, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.