GCD of 311, 213, 39, 173 Calculator

Given Input numbers are 311, 213, 39, 173

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 311, 213, 39, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 213, 39, 173 is 1.

Therefore, GCD of numbers 311, 213, 39, 173 is 1

Given Input Data is 311, 213, 39, 173

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

Prime Factorization of 311 is 311

Prime Factorization of 213 is 3 x 71

Prime Factorization of 39 is 3 x 13

Prime Factorization of 173 is 173

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(311, 213) = 66243

GCD(311, 213) = ( 311 x 213 ) / 66243

GCD(311, 213) = 66243 / 66243

GCD(311, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 311, 213, 39, 173 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 224, 98, 712
• GCD of 274, 203, 70, 357
• GCD of 744, 150, 72, 390
• GCD of 859, 156, 26, 169
• GCD of 397, 819, 60, 782

1. What is the GCD of 311, 213, 39, 173?

GCD of 311, 213, 39, 173 is 1

2. Where do I get the detailed procedure to find GCD of 311, 213, 39, 173?

You can find a detailed procedure to find GCD of 311, 213, 39, 173 on our page.

3. How to find GCD of 311, 213, 39, 173 on a calculator?

You can find the GCD of 311, 213, 39, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.