GCD of 422, 768, 258 Calculator

Given Input numbers are 422, 768, 258

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 422, 768, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 768, 258 is 2.

Therefore, GCD of numbers 422, 768, 258 is 2

Given Input Data is 422, 768, 258

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 258 is 2 x 3 x 43

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(422, 768) = 162048

GCD(422, 768) = ( 422 x 768 ) / 162048

GCD(422, 768) = 324096 / 162048

GCD(422, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

GCD of 422, 768, 258 is 2

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1. What is the GCD of 422, 768, 258?

GCD of 422, 768, 258 is 2

2. Where do I get the detailed procedure to find GCD of 422, 768, 258?

You can find a detailed procedure to find GCD of 422, 768, 258 on our page.

3. How to find GCD of 422, 768, 258 on a calculator?

You can find the GCD of 422, 768, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.