GCD of 422, 682, 83, 606 Calculator

Given Input numbers are 422, 682, 83, 606

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 422, 682, 83, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 682, 83, 606 is 1.

Therefore, GCD of numbers 422, 682, 83, 606 is 1

Given Input Data is 422, 682, 83, 606

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 83 is 83

Prime Factorization of 606 is 2 x 3 x 101

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, 682) = 143902

GCD(422, 682) = ( 422 x 682 ) / 143902

GCD(422, 682) = 287804 / 143902

GCD(422, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

GCD of 422, 682, 83, 606 is 1

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1. What is the GCD of 422, 682, 83, 606?

GCD of 422, 682, 83, 606 is 1

2. Where do I get the detailed procedure to find GCD of 422, 682, 83, 606?

You can find a detailed procedure to find GCD of 422, 682, 83, 606 on our page.

3. How to find GCD of 422, 682, 83, 606 on a calculator?

You can find the GCD of 422, 682, 83, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.