GCD of 993, 333, 17, 827 Calculator

Given Input numbers are 993, 333, 17, 827

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 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 993, 333, 17, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 333, 17, 827 is 1.

Therefore, GCD of numbers 993, 333, 17, 827 is 1

Given Input Data is 993, 333, 17, 827

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 17 is 17

Prime Factorization of 827 is 827

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, 333) = 110223

GCD(993, 333) = ( 993 x 333 ) / 110223

GCD(993, 333) = 330669 / 110223

GCD(993, 333) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 993, 333, 17, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 277, 53, 174
• GCD of 481, 303, 47, 761
• GCD of 695, 737, 74, 226
• GCD of 793, 288, 68, 899
• GCD of 261, 701, 72, 726

1. What is the GCD of 993, 333, 17, 827?

GCD of 993, 333, 17, 827 is 1

2. Where do I get the detailed procedure to find GCD of 993, 333, 17, 827?

You can find a detailed procedure to find GCD of 993, 333, 17, 827 on our page.

3. How to find GCD of 993, 333, 17, 827 on a calculator?

You can find the GCD of 993, 333, 17, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.