GCD of 489, 271, 59, 457 Calculator

Given Input numbers are 489, 271, 59, 457

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 489, 271, 59, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 271, 59, 457 is 1.

Therefore, GCD of numbers 489, 271, 59, 457 is 1

Given Input Data is 489, 271, 59, 457

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 271 is 271

Prime Factorization of 59 is 59

Prime Factorization of 457 is 457

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, 271) = 132519

GCD(489, 271) = ( 489 x 271 ) / 132519

GCD(489, 271) = 132519 / 132519

GCD(489, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 489, 271, 59, 457 is 1

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1. What is the GCD of 489, 271, 59, 457?

GCD of 489, 271, 59, 457 is 1

2. Where do I get the detailed procedure to find GCD of 489, 271, 59, 457?

You can find a detailed procedure to find GCD of 489, 271, 59, 457 on our page.

3. How to find GCD of 489, 271, 59, 457 on a calculator?

You can find the GCD of 489, 271, 59, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.