GCD of 21, 798, 399, 289 Calculator

Given Input numbers are 21, 798, 399, 289

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 21, 798, 399, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 798, 399, 289 is 1.

Therefore, GCD of numbers 21, 798, 399, 289 is 1

Given Input Data is 21, 798, 399, 289

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 289 is 17 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(21, 798) = 798

GCD(21, 798) = ( 21 x 798 ) / 798

GCD(21, 798) = 16758 / 798

GCD(21, 798) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 399

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

LCM(21, 399) = 399

GCD(21, 399) = ( 21 x 399 ) / 399

GCD(21, 399) = 8379 / 399

GCD(21, 399) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 289

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

LCM(21, 289) = 6069

GCD(21, 289) = ( 21 x 289 ) / 6069

GCD(21, 289) = 6069 / 6069

GCD(21, 289) = 1

GCD of 21, 798, 399, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 398, 154, 688
• GCD of 73, 601, 135, 614
• GCD of 56, 667, 789, 839
• GCD of 57, 448, 830, 738
• GCD of 10, 935, 144, 212

1. What is the GCD of 21, 798, 399, 289?

GCD of 21, 798, 399, 289 is 1

2. Where do I get the detailed procedure to find GCD of 21, 798, 399, 289?

You can find a detailed procedure to find GCD of 21, 798, 399, 289 on our page.

3. How to find GCD of 21, 798, 399, 289 on a calculator?

You can find the GCD of 21, 798, 399, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.