GCD of 321, 330, 893, 172 Calculator

Given Input numbers are 321, 330, 893, 172

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

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 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 321, 330, 893, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 330, 893, 172 is 1.

Therefore, GCD of numbers 321, 330, 893, 172 is 1

Given Input Data is 321, 330, 893, 172

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

Prime Factorization of 321 is 3 x 107

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 172 is 2 x 2 x 43

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(321, 330) = 35310

GCD(321, 330) = ( 321 x 330 ) / 35310

GCD(321, 330) = 105930 / 35310

GCD(321, 330) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 893

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

LCM(3, 893) = 2679

GCD(3, 893) = ( 3 x 893 ) / 2679

GCD(3, 893) = 2679 / 2679

GCD(3, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 321, 330, 893, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 247, 406, 964
• GCD of 358, 643, 981, 684
• GCD of 746, 728, 935, 109
• GCD of 315, 993, 218, 117
• GCD of 143, 640, 878, 766

1. What is the GCD of 321, 330, 893, 172?

GCD of 321, 330, 893, 172 is 1

2. Where do I get the detailed procedure to find GCD of 321, 330, 893, 172?

You can find a detailed procedure to find GCD of 321, 330, 893, 172 on our page.

3. How to find GCD of 321, 330, 893, 172 on a calculator?

You can find the GCD of 321, 330, 893, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.