GCD of 996, 794, 306, 493 Calculator

Given Input numbers are 996, 794, 306, 493

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 996, 794, 306, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 794, 306, 493 is 1.

Therefore, GCD of numbers 996, 794, 306, 493 is 1

Given Input Data is 996, 794, 306, 493

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 794 is 2 x 397

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 493 is 17 x 29

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(996, 794) = 395412

GCD(996, 794) = ( 996 x 794 ) / 395412

GCD(996, 794) = 790824 / 395412

GCD(996, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

GCD of 996, 794, 306, 493 is 1

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1. What is the GCD of 996, 794, 306, 493?

GCD of 996, 794, 306, 493 is 1

2. Where do I get the detailed procedure to find GCD of 996, 794, 306, 493?

You can find a detailed procedure to find GCD of 996, 794, 306, 493 on our page.

3. How to find GCD of 996, 794, 306, 493 on a calculator?

You can find the GCD of 996, 794, 306, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.