GCD of 330, 682, 729, 835 Calculator

Given Input numbers are 330, 682, 729, 835

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 330, 682, 729, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 682, 729, 835 is 1.

Therefore, GCD of numbers 330, 682, 729, 835 is 1

Given Input Data is 330, 682, 729, 835

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 835 is 5 x 167

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(330, 682) = 10230

GCD(330, 682) = ( 330 x 682 ) / 10230

GCD(330, 682) = 225060 / 10230

GCD(330, 682) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 729

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

LCM(22, 729) = 16038

GCD(22, 729) = ( 22 x 729 ) / 16038

GCD(22, 729) = 16038 / 16038

GCD(22, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 330, 682, 729, 835 is 1

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1. What is the GCD of 330, 682, 729, 835?

GCD of 330, 682, 729, 835 is 1

2. Where do I get the detailed procedure to find GCD of 330, 682, 729, 835?

You can find a detailed procedure to find GCD of 330, 682, 729, 835 on our page.

3. How to find GCD of 330, 682, 729, 835 on a calculator?

You can find the GCD of 330, 682, 729, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.