GCD of 996, 298, 918 Calculator

Given Input numbers are 996, 298, 918

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 298

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

1, 2, 149, 298

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 996, 298, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 298, 918 is 2.

Therefore, GCD of numbers 996, 298, 918 is 2

Given Input Data is 996, 298, 918

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 298 is 2 x 149

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 298) = 148404

GCD(996, 298) = ( 996 x 298 ) / 148404

GCD(996, 298) = 296808 / 148404

GCD(996, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 996, 298, 918 is 2

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1. What is the GCD of 996, 298, 918?

GCD of 996, 298, 918 is 2

2. Where do I get the detailed procedure to find GCD of 996, 298, 918?

You can find a detailed procedure to find GCD of 996, 298, 918 on our page.

3. How to find GCD of 996, 298, 918 on a calculator?

You can find the GCD of 996, 298, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.