GCD of 422, 190, 157, 412 Calculator

Given Input numbers are 422, 190, 157, 412

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 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 422, 190, 157, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 190, 157, 412 is 1.

Therefore, GCD of numbers 422, 190, 157, 412 is 1

Given Input Data is 422, 190, 157, 412

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 157 is 157

Prime Factorization of 412 is 2 x 2 x 103

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, 190) = 40090

GCD(422, 190) = ( 422 x 190 ) / 40090

GCD(422, 190) = 80180 / 40090

GCD(422, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

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

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 422, 190, 157, 412 is 1

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1. What is the GCD of 422, 190, 157, 412?

GCD of 422, 190, 157, 412 is 1

2. Where do I get the detailed procedure to find GCD of 422, 190, 157, 412?

You can find a detailed procedure to find GCD of 422, 190, 157, 412 on our page.

3. How to find GCD of 422, 190, 157, 412 on a calculator?

You can find the GCD of 422, 190, 157, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.