GCD of 178, 286, 422 Calculator

Given Input numbers are 178, 286, 422

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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 178, 286, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 286, 422 is 2.

Therefore, GCD of numbers 178, 286, 422 is 2

Given Input Data is 178, 286, 422

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 286 is 2 x 11 x 13

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(178, 286) = 25454

GCD(178, 286) = ( 178 x 286 ) / 25454

GCD(178, 286) = 50908 / 25454

GCD(178, 286) = 2

Step2:

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 178, 286, 422 is 2

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1. What is the GCD of 178, 286, 422?

GCD of 178, 286, 422 is 2

2. Where do I get the detailed procedure to find GCD of 178, 286, 422?

You can find a detailed procedure to find GCD of 178, 286, 422 on our page.

3. How to find GCD of 178, 286, 422 on a calculator?

You can find the GCD of 178, 286, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.