GCD of 280, 299, 17, 999 Calculator

Given Input numbers are 280, 299, 17, 999

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 999

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

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

Greatest Common Divisior

We found the divisors of 280, 299, 17, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 299, 17, 999 is 1.

Therefore, GCD of numbers 280, 299, 17, 999 is 1

Given Input Data is 280, 299, 17, 999

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 299 is 13 x 23

Prime Factorization of 17 is 17

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

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(280, 299) = 83720

GCD(280, 299) = ( 280 x 299 ) / 83720

GCD(280, 299) = 83720 / 83720

GCD(280, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 280, 299, 17, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 240, 39, 560
• GCD of 342, 783, 43, 498
• GCD of 281, 478, 18, 359
• GCD of 728, 550, 30, 559
• GCD of 313, 124, 77, 645

1. What is the GCD of 280, 299, 17, 999?

GCD of 280, 299, 17, 999 is 1

2. Where do I get the detailed procedure to find GCD of 280, 299, 17, 999?

You can find a detailed procedure to find GCD of 280, 299, 17, 999 on our page.

3. How to find GCD of 280, 299, 17, 999 on a calculator?

You can find the GCD of 280, 299, 17, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.