GCD of 706, 313, 819, 333 Calculator

Given Input numbers are 706, 313, 819, 333

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 333

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

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 706, 313, 819, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 313, 819, 333 is 1.

Therefore, GCD of numbers 706, 313, 819, 333 is 1

Given Input Data is 706, 313, 819, 333

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 313 is 313

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 333 is 3 x 3 x 37

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(706, 313) = 220978

GCD(706, 313) = ( 706 x 313 ) / 220978

GCD(706, 313) = 220978 / 220978

GCD(706, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 706, 313, 819, 333 is 1

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1. What is the GCD of 706, 313, 819, 333?

GCD of 706, 313, 819, 333 is 1

2. Where do I get the detailed procedure to find GCD of 706, 313, 819, 333?

You can find a detailed procedure to find GCD of 706, 313, 819, 333 on our page.

3. How to find GCD of 706, 313, 819, 333 on a calculator?

You can find the GCD of 706, 313, 819, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.