GCD of 861, 999, 622, 442 Calculator

Given Input numbers are 861, 999, 622, 442

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 861, 999, 622, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 999, 622, 442 is 1.

Therefore, GCD of numbers 861, 999, 622, 442 is 1

Given Input Data is 861, 999, 622, 442

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

Prime Factorization of 861 is 3 x 7 x 41

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 442 is 2 x 13 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(861, 999) = 286713

GCD(861, 999) = ( 861 x 999 ) / 286713

GCD(861, 999) = 860139 / 286713

GCD(861, 999) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 622

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

LCM(3, 622) = 1866

GCD(3, 622) = ( 3 x 622 ) / 1866

GCD(3, 622) = 1866 / 1866

GCD(3, 622) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 861, 999, 622, 442 is 1

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1. What is the GCD of 861, 999, 622, 442?

GCD of 861, 999, 622, 442 is 1

2. Where do I get the detailed procedure to find GCD of 861, 999, 622, 442?

You can find a detailed procedure to find GCD of 861, 999, 622, 442 on our page.

3. How to find GCD of 861, 999, 622, 442 on a calculator?

You can find the GCD of 861, 999, 622, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.