GCD of 422, 459, 942 Calculator

Given Input numbers are 422, 459, 942

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 422, 459, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 459, 942 is 1.

Therefore, GCD of numbers 422, 459, 942 is 1

Given Input Data is 422, 459, 942

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 942 is 2 x 3 x 157

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, 459) = 193698

GCD(422, 459) = ( 422 x 459 ) / 193698

GCD(422, 459) = 193698 / 193698

GCD(422, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 422, 459, 942 is 1

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1. What is the GCD of 422, 459, 942?

GCD of 422, 459, 942 is 1

2. Where do I get the detailed procedure to find GCD of 422, 459, 942?

You can find a detailed procedure to find GCD of 422, 459, 942 on our page.

3. How to find GCD of 422, 459, 942 on a calculator?

You can find the GCD of 422, 459, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.