GCD of 966, 106, 18, 324 Calculator

Given Input numbers are 966, 106, 18, 324

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 966, 106, 18, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 106, 18, 324 is 2.

Therefore, GCD of numbers 966, 106, 18, 324 is 2

Given Input Data is 966, 106, 18, 324

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 106 is 2 x 53

Prime Factorization of 18 is 2 x 3 x 3

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(966, 106) = 51198

GCD(966, 106) = ( 966 x 106 ) / 51198

GCD(966, 106) = 102396 / 51198

GCD(966, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 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 966, 106, 18, 324 is 2

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1. What is the GCD of 966, 106, 18, 324?

GCD of 966, 106, 18, 324 is 2

2. Where do I get the detailed procedure to find GCD of 966, 106, 18, 324?

You can find a detailed procedure to find GCD of 966, 106, 18, 324 on our page.

3. How to find GCD of 966, 106, 18, 324 on a calculator?

You can find the GCD of 966, 106, 18, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.