GCD of 993, 684, 73, 519 Calculator

Given Input numbers are 993, 684, 73, 519

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 993, 684, 73, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 684, 73, 519 is 1.

Therefore, GCD of numbers 993, 684, 73, 519 is 1

Given Input Data is 993, 684, 73, 519

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 73 is 73

Prime Factorization of 519 is 3 x 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(993, 684) = 226404

GCD(993, 684) = ( 993 x 684 ) / 226404

GCD(993, 684) = 679212 / 226404

GCD(993, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 993, 684, 73, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 231, 82, 443
• GCD of 928, 333, 48, 504
• GCD of 761, 623, 78, 656
• GCD of 257, 723, 66, 658
• GCD of 719, 850, 48, 166

1. What is the GCD of 993, 684, 73, 519?

GCD of 993, 684, 73, 519 is 1

2. Where do I get the detailed procedure to find GCD of 993, 684, 73, 519?

You can find a detailed procedure to find GCD of 993, 684, 73, 519 on our page.

3. How to find GCD of 993, 684, 73, 519 on a calculator?

You can find the GCD of 993, 684, 73, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.