GCD of 996, 814, 788 Calculator

Given Input numbers are 996, 814, 788

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 996, 814, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 814, 788 is 2.

Therefore, GCD of numbers 996, 814, 788 is 2

Given Input Data is 996, 814, 788

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 814 is 2 x 11 x 37

Prime Factorization of 788 is 2 x 2 x 197

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 814) = 405372

GCD(996, 814) = ( 996 x 814 ) / 405372

GCD(996, 814) = 810744 / 405372

GCD(996, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 996, 814, 788 is 2

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1. What is the GCD of 996, 814, 788?

GCD of 996, 814, 788 is 2

2. Where do I get the detailed procedure to find GCD of 996, 814, 788?

You can find a detailed procedure to find GCD of 996, 814, 788 on our page.

3. How to find GCD of 996, 814, 788 on a calculator?

You can find the GCD of 996, 814, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.