GCD of 338, 144, 321, 360 Calculator

Given Input numbers are 338, 144, 321, 360

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 321

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

1, 3, 107, 321

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

Greatest Common Divisior

We found the divisors of 338, 144, 321, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 144, 321, 360 is 1.

Therefore, GCD of numbers 338, 144, 321, 360 is 1

Given Input Data is 338, 144, 321, 360

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 321 is 3 x 107

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

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(338, 144) = 24336

GCD(338, 144) = ( 338 x 144 ) / 24336

GCD(338, 144) = 48672 / 24336

GCD(338, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 338, 144, 321, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 388, 200, 980
• GCD of 774, 481, 817, 872
• GCD of 780, 639, 501, 827
• GCD of 323, 534, 956, 478
• GCD of 180, 508, 774, 532

1. What is the GCD of 338, 144, 321, 360?

GCD of 338, 144, 321, 360 is 1

2. Where do I get the detailed procedure to find GCD of 338, 144, 321, 360?

You can find a detailed procedure to find GCD of 338, 144, 321, 360 on our page.

3. How to find GCD of 338, 144, 321, 360 on a calculator?

You can find the GCD of 338, 144, 321, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.