GCD of 329, 360, 405, 338 Calculator

Given Input numbers are 329, 360, 405, 338

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 329, 360, 405, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 360, 405, 338 is 1.

Therefore, GCD of numbers 329, 360, 405, 338 is 1

Given Input Data is 329, 360, 405, 338

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 338 is 2 x 13 x 13

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(329, 360) = 118440

GCD(329, 360) = ( 329 x 360 ) / 118440

GCD(329, 360) = 118440 / 118440

GCD(329, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 329, 360, 405, 338 is 1

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1. What is the GCD of 329, 360, 405, 338?

GCD of 329, 360, 405, 338 is 1

2. Where do I get the detailed procedure to find GCD of 329, 360, 405, 338?

You can find a detailed procedure to find GCD of 329, 360, 405, 338 on our page.

3. How to find GCD of 329, 360, 405, 338 on a calculator?

You can find the GCD of 329, 360, 405, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.