GCD of 489, 301, 71, 408 Calculator

Given Input numbers are 489, 301, 71, 408

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 489, 301, 71, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 301, 71, 408 is 1.

Therefore, GCD of numbers 489, 301, 71, 408 is 1

Given Input Data is 489, 301, 71, 408

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 301 is 7 x 43

Prime Factorization of 71 is 71

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 301) = 147189

GCD(489, 301) = ( 489 x 301 ) / 147189

GCD(489, 301) = 147189 / 147189

GCD(489, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 489, 301, 71, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 714, 63, 111
• GCD of 406, 395, 59, 114
• GCD of 960, 282, 44, 717
• GCD of 745, 513, 52, 693
• GCD of 769, 816, 50, 662

1. What is the GCD of 489, 301, 71, 408?

GCD of 489, 301, 71, 408 is 1

2. Where do I get the detailed procedure to find GCD of 489, 301, 71, 408?

You can find a detailed procedure to find GCD of 489, 301, 71, 408 on our page.

3. How to find GCD of 489, 301, 71, 408 on a calculator?

You can find the GCD of 489, 301, 71, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.