GCD of 999, 590, 85, 284 Calculator

Given Input numbers are 999, 590, 85, 284

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 999, 590, 85, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 590, 85, 284 is 1.

Therefore, GCD of numbers 999, 590, 85, 284 is 1

Given Input Data is 999, 590, 85, 284

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 85 is 5 x 17

Prime Factorization of 284 is 2 x 2 x 71

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(999, 590) = 589410

GCD(999, 590) = ( 999 x 590 ) / 589410

GCD(999, 590) = 589410 / 589410

GCD(999, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 999, 590, 85, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 224, 27, 344
• GCD of 727, 934, 12, 167
• GCD of 164, 728, 22, 952
• GCD of 467, 988, 32, 280
• GCD of 394, 752, 14, 572

1. What is the GCD of 999, 590, 85, 284?

GCD of 999, 590, 85, 284 is 1

2. Where do I get the detailed procedure to find GCD of 999, 590, 85, 284?

You can find a detailed procedure to find GCD of 999, 590, 85, 284 on our page.

3. How to find GCD of 999, 590, 85, 284 on a calculator?

You can find the GCD of 999, 590, 85, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.