GCD of 422, 161, 644, 390 Calculator

Given Input numbers are 422, 161, 644, 390

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 422, 161, 644, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 161, 644, 390 is 1.

Therefore, GCD of numbers 422, 161, 644, 390 is 1

Given Input Data is 422, 161, 644, 390

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 161 is 7 x 23

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 390 is 2 x 3 x 5 x 13

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, 161) = 67942

GCD(422, 161) = ( 422 x 161 ) / 67942

GCD(422, 161) = 67942 / 67942

GCD(422, 161) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 422, 161, 644, 390 is 1

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1. What is the GCD of 422, 161, 644, 390?

GCD of 422, 161, 644, 390 is 1

2. Where do I get the detailed procedure to find GCD of 422, 161, 644, 390?

You can find a detailed procedure to find GCD of 422, 161, 644, 390 on our page.

3. How to find GCD of 422, 161, 644, 390 on a calculator?

You can find the GCD of 422, 161, 644, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.