GCD of 416, 204, 42, 258 Calculator

Given Input numbers are 416, 204, 42, 258

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 416, 204, 42, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 204, 42, 258 is 2.

Therefore, GCD of numbers 416, 204, 42, 258 is 2

Given Input Data is 416, 204, 42, 258

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 42 is 2 x 3 x 7

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(416, 204) = 21216

GCD(416, 204) = ( 416 x 204 ) / 21216

GCD(416, 204) = 84864 / 21216

GCD(416, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

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 416, 204, 42, 258 is 2

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• GCD of 390, 883, 30, 626
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1. What is the GCD of 416, 204, 42, 258?

GCD of 416, 204, 42, 258 is 2

2. Where do I get the detailed procedure to find GCD of 416, 204, 42, 258?

You can find a detailed procedure to find GCD of 416, 204, 42, 258 on our page.

3. How to find GCD of 416, 204, 42, 258 on a calculator?

You can find the GCD of 416, 204, 42, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.