GCD of 994, 218, 996 Calculator

Given Input numbers are 994, 218, 996

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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

Greatest Common Divisior

We found the divisors of 994, 218, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 218, 996 is 2.

Therefore, GCD of numbers 994, 218, 996 is 2

Given Input Data is 994, 218, 996

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 218 is 2 x 109

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

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(994, 218) = 108346

GCD(994, 218) = ( 994 x 218 ) / 108346

GCD(994, 218) = 216692 / 108346

GCD(994, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 994, 218, 996 is 2

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1. What is the GCD of 994, 218, 996?

GCD of 994, 218, 996 is 2

2. Where do I get the detailed procedure to find GCD of 994, 218, 996?

You can find a detailed procedure to find GCD of 994, 218, 996 on our page.

3. How to find GCD of 994, 218, 996 on a calculator?

You can find the GCD of 994, 218, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.