GCD of 489, 411, 22, 123 Calculator

Given Input numbers are 489, 411, 22, 123

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 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 489, 411, 22, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 411, 22, 123 is 1.

Therefore, GCD of numbers 489, 411, 22, 123 is 1

Given Input Data is 489, 411, 22, 123

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 411 is 3 x 137

Prime Factorization of 22 is 2 x 11

Prime Factorization of 123 is 3 x 41

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

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, 411) = 66993

GCD(489, 411) = ( 489 x 411 ) / 66993

GCD(489, 411) = 200979 / 66993

GCD(489, 411) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 489, 411, 22, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 884, 49, 926
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• GCD of 693, 776, 47, 316

1. What is the GCD of 489, 411, 22, 123?

GCD of 489, 411, 22, 123 is 1

2. Where do I get the detailed procedure to find GCD of 489, 411, 22, 123?

You can find a detailed procedure to find GCD of 489, 411, 22, 123 on our page.

3. How to find GCD of 489, 411, 22, 123 on a calculator?

You can find the GCD of 489, 411, 22, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.