GCD of 999, 211, 58, 400 Calculator

Given Input numbers are 999, 211, 58, 400

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 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 999, 211, 58, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 211, 58, 400 is 1.

Therefore, GCD of numbers 999, 211, 58, 400 is 1

Given Input Data is 999, 211, 58, 400

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 211 is 211

Prime Factorization of 58 is 2 x 29

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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, 211) = 210789

GCD(999, 211) = ( 999 x 211 ) / 210789

GCD(999, 211) = 210789 / 210789

GCD(999, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 999, 211, 58, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 940, 47, 356
• GCD of 185, 656, 16, 886
• GCD of 793, 614, 58, 865
• GCD of 387, 203, 78, 192
• GCD of 898, 789, 92, 431

1. What is the GCD of 999, 211, 58, 400?

GCD of 999, 211, 58, 400 is 1

2. Where do I get the detailed procedure to find GCD of 999, 211, 58, 400?

You can find a detailed procedure to find GCD of 999, 211, 58, 400 on our page.

3. How to find GCD of 999, 211, 58, 400 on a calculator?

You can find the GCD of 999, 211, 58, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.