GCD of 489, 522, 41, 216 Calculator

Given Input numbers are 489, 522, 41, 216

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 489, 522, 41, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 522, 41, 216 is 1.

Therefore, GCD of numbers 489, 522, 41, 216 is 1

Given Input Data is 489, 522, 41, 216

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 41 is 41

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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, 522) = 85086

GCD(489, 522) = ( 489 x 522 ) / 85086

GCD(489, 522) = 255258 / 85086

GCD(489, 522) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 489, 522, 41, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 825, 46, 604
• GCD of 648, 371, 91, 845
• GCD of 172, 450, 44, 419
• GCD of 464, 710, 53, 268
• GCD of 719, 353, 52, 111

1. What is the GCD of 489, 522, 41, 216?

GCD of 489, 522, 41, 216 is 1

2. Where do I get the detailed procedure to find GCD of 489, 522, 41, 216?

You can find a detailed procedure to find GCD of 489, 522, 41, 216 on our page.

3. How to find GCD of 489, 522, 41, 216 on a calculator?

You can find the GCD of 489, 522, 41, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.