GCD of 29, 321, 330, 345 Calculator

Given Input numbers are 29, 321, 330, 345

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 29, 321, 330, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 321, 330, 345 is 1.

Therefore, GCD of numbers 29, 321, 330, 345 is 1

Given Input Data is 29, 321, 330, 345

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

Prime Factorization of 29 is 29

Prime Factorization of 321 is 3 x 107

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

Prime Factorization of 345 is 3 x 5 x 23

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(29, 321) = 9309

GCD(29, 321) = ( 29 x 321 ) / 9309

GCD(29, 321) = 9309 / 9309

GCD(29, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 29, 321, 330, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 223, 746, 420
• GCD of 63, 407, 465, 819
• GCD of 51, 568, 534, 429
• GCD of 94, 975, 404, 709
• GCD of 95, 439, 523, 676

1. What is the GCD of 29, 321, 330, 345?

GCD of 29, 321, 330, 345 is 1

2. Where do I get the detailed procedure to find GCD of 29, 321, 330, 345?

You can find a detailed procedure to find GCD of 29, 321, 330, 345 on our page.

3. How to find GCD of 29, 321, 330, 345 on a calculator?

You can find the GCD of 29, 321, 330, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.