GCD of 986, 822, 368 Calculator

Given Input numbers are 986, 822, 368

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 986, 822, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 822, 368 is 2.

Therefore, GCD of numbers 986, 822, 368 is 2

Given Input Data is 986, 822, 368

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(986, 822) = 405246

GCD(986, 822) = ( 986 x 822 ) / 405246

GCD(986, 822) = 810492 / 405246

GCD(986, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 986, 822, 368 is 2

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1. What is the GCD of 986, 822, 368?

GCD of 986, 822, 368 is 2

2. Where do I get the detailed procedure to find GCD of 986, 822, 368?

You can find a detailed procedure to find GCD of 986, 822, 368 on our page.

3. How to find GCD of 986, 822, 368 on a calculator?

You can find the GCD of 986, 822, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.