GCD of 422, 290, 982, 324 Calculator

Given Input numbers are 422, 290, 982, 324

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 422, 290, 982, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 290, 982, 324 is 2.

Therefore, GCD of numbers 422, 290, 982, 324 is 2

Given Input Data is 422, 290, 982, 324

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 982 is 2 x 491

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(422, 290) = 61190

GCD(422, 290) = ( 422 x 290 ) / 61190

GCD(422, 290) = 122380 / 61190

GCD(422, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 422, 290, 982, 324 is 2

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1. What is the GCD of 422, 290, 982, 324?

GCD of 422, 290, 982, 324 is 2

2. Where do I get the detailed procedure to find GCD of 422, 290, 982, 324?

You can find a detailed procedure to find GCD of 422, 290, 982, 324 on our page.

3. How to find GCD of 422, 290, 982, 324 on a calculator?

You can find the GCD of 422, 290, 982, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.