GCD of 489, 272, 522, 356 Calculator

Given Input numbers are 489, 272, 522, 356

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 489, 272, 522, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 272, 522, 356 is 1.

Therefore, GCD of numbers 489, 272, 522, 356 is 1

Given Input Data is 489, 272, 522, 356

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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

Prime Factorization of 356 is 2 x 2 x 89

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, 272) = 133008

GCD(489, 272) = ( 489 x 272 ) / 133008

GCD(489, 272) = 133008 / 133008

GCD(489, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 489, 272, 522, 356 is 1

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1. What is the GCD of 489, 272, 522, 356?

GCD of 489, 272, 522, 356 is 1

2. Where do I get the detailed procedure to find GCD of 489, 272, 522, 356?

You can find a detailed procedure to find GCD of 489, 272, 522, 356 on our page.

3. How to find GCD of 489, 272, 522, 356 on a calculator?

You can find the GCD of 489, 272, 522, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.