GCD of 162, 489, 360 Calculator

Given Input numbers are 162, 489, 360

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 162, 489, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 489, 360 is 3.

Therefore, GCD of numbers 162, 489, 360 is 3

Given Input Data is 162, 489, 360

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 489 is 3 x 163

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 489) = 26406

GCD(162, 489) = ( 162 x 489 ) / 26406

GCD(162, 489) = 79218 / 26406

GCD(162, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 360

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

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

GCD(3, 360) = 1080 / 360

GCD(3, 360) = 3

GCD of 162, 489, 360 is 3

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1. What is the GCD of 162, 489, 360?

GCD of 162, 489, 360 is 3

2. Where do I get the detailed procedure to find GCD of 162, 489, 360?

You can find a detailed procedure to find GCD of 162, 489, 360 on our page.

3. How to find GCD of 162, 489, 360 on a calculator?

You can find the GCD of 162, 489, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.