GCD of 489, 100, 162 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 489, 100, 162 i.e. 1 largest integer that divides all the numbers equally.

GCD of 489, 100, 162 is 1

GCD(489, 100, 162) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 489, 100, 162 is 1

GCD(489, 100, 162) = 1

GCD of 489,100,162 Calculator

GCDof 489,100,162 is 1

Given Input numbers are 489, 100, 162

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

Divisors of 489

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

1, 3, 163, 489

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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

Greatest Common Divisior

We found the divisors of 489, 100, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 100, 162 is 1.

Therefore, GCD of numbers 489, 100, 162 is 1

Finding GCD of 489, 100, 162 using Prime Factorization

Given Input Data is 489, 100, 162

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 489, 100, 162 using LCM Formula

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(489, 100) = 48900

GCD(489, 100) = ( 489 x 100 ) / 48900

GCD(489, 100) = 48900 / 48900

GCD(489, 100) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 489, 100, 162 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 489, 100, 162

1. What is the GCD of 489, 100, 162?

GCD of 489, 100, 162 is 1


2. Where do I get the detailed procedure to find GCD of 489, 100, 162?

You can find a detailed procedure to find GCD of 489, 100, 162 on our page.


3. How to find GCD of 489, 100, 162 on a calculator?

You can find the GCD of 489, 100, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.