GCD of 489, 121, 40, 892 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, 121, 40, 892 i.e. 1 largest integer that divides all the numbers equally.

GCD of 489, 121, 40, 892 is 1

GCD(489, 121, 40, 892) = 1

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

GCD of

GCD of numbers 489, 121, 40, 892 is 1

GCD(489, 121, 40, 892) = 1

GCD of 489,121,40,892 Calculator

GCDof 489,121,40,892 is 1

Given Input numbers are 489, 121, 40, 892

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 489, 121, 40, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 121, 40, 892 is 1.

Therefore, GCD of numbers 489, 121, 40, 892 is 1

Finding GCD of 489, 121, 40, 892 using Prime Factorization

Given Input Data is 489, 121, 40, 892

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 121 is 11 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 892 is 2 x 2 x 223

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

Finding GCD of 489, 121, 40, 892 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, 121) = 59169

GCD(489, 121) = ( 489 x 121 ) / 59169

GCD(489, 121) = 59169 / 59169

GCD(489, 121) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 489, 121, 40, 892 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 489, 121, 40, 892

1. What is the GCD of 489, 121, 40, 892?

GCD of 489, 121, 40, 892 is 1


2. Where do I get the detailed procedure to find GCD of 489, 121, 40, 892?

You can find a detailed procedure to find GCD of 489, 121, 40, 892 on our page.


3. How to find GCD of 489, 121, 40, 892 on a calculator?

You can find the GCD of 489, 121, 40, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.