GCD of 422, 284, 14, 869 Calculator

Given Input numbers are 422, 284, 14, 869

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 284

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

1, 2, 4, 71, 142, 284

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 422, 284, 14, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 284, 14, 869 is 1.

Therefore, GCD of numbers 422, 284, 14, 869 is 1

Given Input Data is 422, 284, 14, 869

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 14 is 2 x 7

Prime Factorization of 869 is 11 x 79

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(422, 284) = 59924

GCD(422, 284) = ( 422 x 284 ) / 59924

GCD(422, 284) = 119848 / 59924

GCD(422, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 422, 284, 14, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 333, 75, 797
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• GCD of 970, 656, 38, 992
• GCD of 750, 577, 81, 195

1. What is the GCD of 422, 284, 14, 869?

GCD of 422, 284, 14, 869 is 1

2. Where do I get the detailed procedure to find GCD of 422, 284, 14, 869?

You can find a detailed procedure to find GCD of 422, 284, 14, 869 on our page.

3. How to find GCD of 422, 284, 14, 869 on a calculator?

You can find the GCD of 422, 284, 14, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.