GCD of 489, 584, 16, 601 Calculator

Given Input numbers are 489, 584, 16, 601

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 489, 584, 16, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 584, 16, 601 is 1.

Therefore, GCD of numbers 489, 584, 16, 601 is 1

Given Input Data is 489, 584, 16, 601

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 601 is 601

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, 584) = 285576

GCD(489, 584) = ( 489 x 584 ) / 285576

GCD(489, 584) = 285576 / 285576

GCD(489, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 489, 584, 16, 601 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 695, 32, 372
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• GCD of 122, 379, 83, 975
• GCD of 739, 853, 61, 674

1. What is the GCD of 489, 584, 16, 601?

GCD of 489, 584, 16, 601 is 1

2. Where do I get the detailed procedure to find GCD of 489, 584, 16, 601?

You can find a detailed procedure to find GCD of 489, 584, 16, 601 on our page.

3. How to find GCD of 489, 584, 16, 601 on a calculator?

You can find the GCD of 489, 584, 16, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.