GCD of 162, 396, 18, 495 Calculator

Given Input numbers are 162, 396, 18, 495

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 162, 396, 18, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 396, 18, 495 is 9.

Therefore, GCD of numbers 162, 396, 18, 495 is 9

Given Input Data is 162, 396, 18, 495

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 495 is 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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, 396) = 3564

GCD(162, 396) = ( 162 x 396 ) / 3564

GCD(162, 396) = 64152 / 3564

GCD(162, 396) = 18

Step2:

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

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

LCM(18, 18) = 18

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

GCD(18, 18) = 324 / 18

GCD(18, 18) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 495

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

LCM(18, 495) = 990

GCD(18, 495) = ( 18 x 495 ) / 990

GCD(18, 495) = 8910 / 990

GCD(18, 495) = 9

GCD of 162, 396, 18, 495 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 394, 87, 137
• GCD of 325, 596, 17, 190
• GCD of 693, 235, 76, 364
• GCD of 290, 933, 63, 149
• GCD of 201, 438, 66, 170

1. What is the GCD of 162, 396, 18, 495?

GCD of 162, 396, 18, 495 is 9

2. Where do I get the detailed procedure to find GCD of 162, 396, 18, 495?

You can find a detailed procedure to find GCD of 162, 396, 18, 495 on our page.

3. How to find GCD of 162, 396, 18, 495 on a calculator?

You can find the GCD of 162, 396, 18, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.