GCD of 993, 780, 71, 394 Calculator

Given Input numbers are 993, 780, 71, 394

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 993, 780, 71, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 780, 71, 394 is 1.

Therefore, GCD of numbers 993, 780, 71, 394 is 1

Given Input Data is 993, 780, 71, 394

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 71 is 71

Prime Factorization of 394 is 2 x 197

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, 780) = 258180

GCD(993, 780) = ( 993 x 780 ) / 258180

GCD(993, 780) = 774540 / 258180

GCD(993, 780) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 993, 780, 71, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 570, 44, 561
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• GCD of 110, 877, 72, 432

1. What is the GCD of 993, 780, 71, 394?

GCD of 993, 780, 71, 394 is 1

2. Where do I get the detailed procedure to find GCD of 993, 780, 71, 394?

You can find a detailed procedure to find GCD of 993, 780, 71, 394 on our page.

3. How to find GCD of 993, 780, 71, 394 on a calculator?

You can find the GCD of 993, 780, 71, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.