GCD of 171, 378, 338, 585 Calculator

Given Input numbers are 171, 378, 338, 585

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 171, 378, 338, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 378, 338, 585 is 1.

Therefore, GCD of numbers 171, 378, 338, 585 is 1

Given Input Data is 171, 378, 338, 585

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 585 is 3 x 3 x 5 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(171, 378) = 7182

GCD(171, 378) = ( 171 x 378 ) / 7182

GCD(171, 378) = 64638 / 7182

GCD(171, 378) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 338

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

LCM(9, 338) = 3042

GCD(9, 338) = ( 9 x 338 ) / 3042

GCD(9, 338) = 3042 / 3042

GCD(9, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 171, 378, 338, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 520, 459, 379
• GCD of 449, 961, 635, 837
• GCD of 481, 214, 373, 411
• GCD of 268, 780, 900, 541
• GCD of 423, 500, 576, 911

1. What is the GCD of 171, 378, 338, 585?

GCD of 171, 378, 338, 585 is 1

2. Where do I get the detailed procedure to find GCD of 171, 378, 338, 585?

You can find a detailed procedure to find GCD of 171, 378, 338, 585 on our page.

3. How to find GCD of 171, 378, 338, 585 on a calculator?

You can find the GCD of 171, 378, 338, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.