GCD of 162, 682, 18 Calculator

Given Input numbers are 162, 682, 18

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 18

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

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 162, 682, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 682, 18 is 2.

Therefore, GCD of numbers 162, 682, 18 is 2

Given Input Data is 162, 682, 18

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 18 is 2 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(162, 682) = 55242

GCD(162, 682) = ( 162 x 682 ) / 55242

GCD(162, 682) = 110484 / 55242

GCD(162, 682) = 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

GCD of 162, 682, 18 is 2

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1. What is the GCD of 162, 682, 18?

GCD of 162, 682, 18 is 2

2. Where do I get the detailed procedure to find GCD of 162, 682, 18?

You can find a detailed procedure to find GCD of 162, 682, 18 on our page.

3. How to find GCD of 162, 682, 18 on a calculator?

You can find the GCD of 162, 682, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.