GCD of 489, 614, 459, 791 Calculator

Given Input numbers are 489, 614, 459, 791

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 489, 614, 459, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 614, 459, 791 is 1.

Therefore, GCD of numbers 489, 614, 459, 791 is 1

Given Input Data is 489, 614, 459, 791

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 614 is 2 x 307

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 791 is 7 x 113

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, 614) = 300246

GCD(489, 614) = ( 489 x 614 ) / 300246

GCD(489, 614) = 300246 / 300246

GCD(489, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 489, 614, 459, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 823, 308, 651
• GCD of 447, 590, 926, 114
• GCD of 364, 730, 272, 657
• GCD of 543, 879, 791, 234
• GCD of 903, 533, 892, 383

1. What is the GCD of 489, 614, 459, 791?

GCD of 489, 614, 459, 791 is 1

2. Where do I get the detailed procedure to find GCD of 489, 614, 459, 791?

You can find a detailed procedure to find GCD of 489, 614, 459, 791 on our page.

3. How to find GCD of 489, 614, 459, 791 on a calculator?

You can find the GCD of 489, 614, 459, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.