GCD of 422, 109, 290, 371 Calculator

Given Input numbers are 422, 109, 290, 371

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 422, 109, 290, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 109, 290, 371 is 1.

Therefore, GCD of numbers 422, 109, 290, 371 is 1

Given Input Data is 422, 109, 290, 371

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 109 is 109

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 371 is 7 x 53

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, 109) = 45998

GCD(422, 109) = ( 422 x 109 ) / 45998

GCD(422, 109) = 45998 / 45998

GCD(422, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 422, 109, 290, 371 is 1

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1. What is the GCD of 422, 109, 290, 371?

GCD of 422, 109, 290, 371 is 1

2. Where do I get the detailed procedure to find GCD of 422, 109, 290, 371?

You can find a detailed procedure to find GCD of 422, 109, 290, 371 on our page.

3. How to find GCD of 422, 109, 290, 371 on a calculator?

You can find the GCD of 422, 109, 290, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.