GCD of 506, 462, 93, 173 Calculator

Given Input numbers are 506, 462, 93, 173

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

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 506, 462, 93, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 462, 93, 173 is 1.

Therefore, GCD of numbers 506, 462, 93, 173 is 1

Given Input Data is 506, 462, 93, 173

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 93 is 3 x 31

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(506, 462) = 10626

GCD(506, 462) = ( 506 x 462 ) / 10626

GCD(506, 462) = 233772 / 10626

GCD(506, 462) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 93

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

LCM(22, 93) = 2046

GCD(22, 93) = ( 22 x 93 ) / 2046

GCD(22, 93) = 2046 / 2046

GCD(22, 93) = 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 506, 462, 93, 173 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 531, 60, 929
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• GCD of 341, 812, 30, 984
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• GCD of 630, 567, 76, 759

1. What is the GCD of 506, 462, 93, 173?

GCD of 506, 462, 93, 173 is 1

2. Where do I get the detailed procedure to find GCD of 506, 462, 93, 173?

You can find a detailed procedure to find GCD of 506, 462, 93, 173 on our page.

3. How to find GCD of 506, 462, 93, 173 on a calculator?

You can find the GCD of 506, 462, 93, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.