GCD of 16, 506, 399, 173 Calculator

Given Input numbers are 16, 506, 399, 173

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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 16, 506, 399, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 506, 399, 173 is 1.

Therefore, GCD of numbers 16, 506, 399, 173 is 1

Given Input Data is 16, 506, 399, 173

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 399 is 3 x 7 x 19

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(16, 506) = 4048

GCD(16, 506) = ( 16 x 506 ) / 4048

GCD(16, 506) = 8096 / 4048

GCD(16, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 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 16, 506, 399, 173 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 812, 394, 975
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• GCD of 24, 318, 238, 673
• GCD of 32, 138, 268, 919
• GCD of 66, 126, 581, 229

1. What is the GCD of 16, 506, 399, 173?

GCD of 16, 506, 399, 173 is 1

2. Where do I get the detailed procedure to find GCD of 16, 506, 399, 173?

You can find a detailed procedure to find GCD of 16, 506, 399, 173 on our page.

3. How to find GCD of 16, 506, 399, 173 on a calculator?

You can find the GCD of 16, 506, 399, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.