GCD of 993, 116, 382, 689 Calculator

Given Input numbers are 993, 116, 382, 689

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 993, 116, 382, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 116, 382, 689 is 1.

Therefore, GCD of numbers 993, 116, 382, 689 is 1

Given Input Data is 993, 116, 382, 689

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 382 is 2 x 191

Prime Factorization of 689 is 13 x 53

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, 116) = 115188

GCD(993, 116) = ( 993 x 116 ) / 115188

GCD(993, 116) = 115188 / 115188

GCD(993, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 993, 116, 382, 689 is 1

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1. What is the GCD of 993, 116, 382, 689?

GCD of 993, 116, 382, 689 is 1

2. Where do I get the detailed procedure to find GCD of 993, 116, 382, 689?

You can find a detailed procedure to find GCD of 993, 116, 382, 689 on our page.

3. How to find GCD of 993, 116, 382, 689 on a calculator?

You can find the GCD of 993, 116, 382, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.