GCD of 32, 162, 321, 217 Calculator

Given Input numbers are 32, 162, 321, 217

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 321

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

1, 3, 107, 321

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 32, 162, 321, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 162, 321, 217 is 1.

Therefore, GCD of numbers 32, 162, 321, 217 is 1

Given Input Data is 32, 162, 321, 217

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 321 is 3 x 107

Prime Factorization of 217 is 7 x 31

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(32, 162) = 2592

GCD(32, 162) = ( 32 x 162 ) / 2592

GCD(32, 162) = 5184 / 2592

GCD(32, 162) = 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 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 32, 162, 321, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 144, 898, 551
• GCD of 26, 527, 918, 106
• GCD of 40, 725, 302, 109
• GCD of 18, 612, 569, 265
• GCD of 99, 257, 585, 240

1. What is the GCD of 32, 162, 321, 217?

GCD of 32, 162, 321, 217 is 1

2. Where do I get the detailed procedure to find GCD of 32, 162, 321, 217?

You can find a detailed procedure to find GCD of 32, 162, 321, 217 on our page.

3. How to find GCD of 32, 162, 321, 217 on a calculator?

You can find the GCD of 32, 162, 321, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.