GCD of 258, 426, 558, 916 Calculator

Given Input numbers are 258, 426, 558, 916

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

Divisors of 258

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

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

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 258, 426, 558, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 426, 558, 916 is 2.

Therefore, GCD of numbers 258, 426, 558, 916 is 2

Given Input Data is 258, 426, 558, 916

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 916 is 2 x 2 x 229

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(258, 426) = 18318

GCD(258, 426) = ( 258 x 426 ) / 18318

GCD(258, 426) = 109908 / 18318

GCD(258, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 558

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

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

GCD(6, 558) = 3348 / 558

GCD(6, 558) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 916

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

LCM(6, 916) = 2748

GCD(6, 916) = ( 6 x 916 ) / 2748

GCD(6, 916) = 5496 / 2748

GCD(6, 916) = 2

GCD of 258, 426, 558, 916 is 2

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1. What is the GCD of 258, 426, 558, 916?

GCD of 258, 426, 558, 916 is 2

2. Where do I get the detailed procedure to find GCD of 258, 426, 558, 916?

You can find a detailed procedure to find GCD of 258, 426, 558, 916 on our page.

3. How to find GCD of 258, 426, 558, 916 on a calculator?

You can find the GCD of 258, 426, 558, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.