GCD of 298, 828, 994 Calculator

Given Input numbers are 298, 828, 994

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 994

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

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

Greatest Common Divisior

We found the divisors of 298, 828, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 828, 994 is 2.

Therefore, GCD of numbers 298, 828, 994 is 2

Given Input Data is 298, 828, 994

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 994 is 2 x 7 x 71

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(298, 828) = 123372

GCD(298, 828) = ( 298 x 828 ) / 123372

GCD(298, 828) = 246744 / 123372

GCD(298, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 298, 828, 994 is 2

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1. What is the GCD of 298, 828, 994?

GCD of 298, 828, 994 is 2

2. Where do I get the detailed procedure to find GCD of 298, 828, 994?

You can find a detailed procedure to find GCD of 298, 828, 994 on our page.

3. How to find GCD of 298, 828, 994 on a calculator?

You can find the GCD of 298, 828, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.