GCD of 324, 982, 676, 164 Calculator

Given Input numbers are 324, 982, 676, 164

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

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

Divisors of 982

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

1, 2, 491, 982

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 324, 982, 676, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 982, 676, 164 is 2.

Therefore, GCD of numbers 324, 982, 676, 164 is 2

Given Input Data is 324, 982, 676, 164

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

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 164 is 2 x 2 x 41

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(324, 982) = 159084

GCD(324, 982) = ( 324 x 982 ) / 159084

GCD(324, 982) = 318168 / 159084

GCD(324, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 324, 982, 676, 164 is 2

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1. What is the GCD of 324, 982, 676, 164?

GCD of 324, 982, 676, 164 is 2

2. Where do I get the detailed procedure to find GCD of 324, 982, 676, 164?

You can find a detailed procedure to find GCD of 324, 982, 676, 164 on our page.

3. How to find GCD of 324, 982, 676, 164 on a calculator?

You can find the GCD of 324, 982, 676, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.