GCD of 422, 110, 27, 402 Calculator

Given Input numbers are 422, 110, 27, 402

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 422, 110, 27, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 110, 27, 402 is 1.

Therefore, GCD of numbers 422, 110, 27, 402 is 1

Given Input Data is 422, 110, 27, 402

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 402 is 2 x 3 x 67

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, 110) = 23210

GCD(422, 110) = ( 422 x 110 ) / 23210

GCD(422, 110) = 46420 / 23210

GCD(422, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 422, 110, 27, 402 is 1

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1. What is the GCD of 422, 110, 27, 402?

GCD of 422, 110, 27, 402 is 1

2. Where do I get the detailed procedure to find GCD of 422, 110, 27, 402?

You can find a detailed procedure to find GCD of 422, 110, 27, 402 on our page.

3. How to find GCD of 422, 110, 27, 402 on a calculator?

You can find the GCD of 422, 110, 27, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.