GCD of 394, 426, 66, 422 Calculator

Given Input numbers are 394, 426, 66, 422

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 394, 426, 66, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 426, 66, 422 is 2.

Therefore, GCD of numbers 394, 426, 66, 422 is 2

Given Input Data is 394, 426, 66, 422

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 422 is 2 x 211

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(394, 426) = 83922

GCD(394, 426) = ( 394 x 426 ) / 83922

GCD(394, 426) = 167844 / 83922

GCD(394, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

GCD of 394, 426, 66, 422 is 2

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1. What is the GCD of 394, 426, 66, 422?

GCD of 394, 426, 66, 422 is 2

2. Where do I get the detailed procedure to find GCD of 394, 426, 66, 422?

You can find a detailed procedure to find GCD of 394, 426, 66, 422 on our page.

3. How to find GCD of 394, 426, 66, 422 on a calculator?

You can find the GCD of 394, 426, 66, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.