GCD of 18, 258, 342, 884 Calculator

Given Input numbers are 18, 258, 342, 884

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 18, 258, 342, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 258, 342, 884 is 2.

Therefore, GCD of numbers 18, 258, 342, 884 is 2

Given Input Data is 18, 258, 342, 884

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(18, 258) = 774

GCD(18, 258) = ( 18 x 258 ) / 774

GCD(18, 258) = 4644 / 774

GCD(18, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 342

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

LCM(6, 342) = 342

GCD(6, 342) = ( 6 x 342 ) / 342

GCD(6, 342) = 2052 / 342

GCD(6, 342) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 884

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

LCM(6, 884) = 2652

GCD(6, 884) = ( 6 x 884 ) / 2652

GCD(6, 884) = 5304 / 2652

GCD(6, 884) = 2

GCD of 18, 258, 342, 884 is 2

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• GCD of 38, 335, 692, 119
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• GCD of 16, 756, 871, 836

1. What is the GCD of 18, 258, 342, 884?

GCD of 18, 258, 342, 884 is 2

2. Where do I get the detailed procedure to find GCD of 18, 258, 342, 884?

You can find a detailed procedure to find GCD of 18, 258, 342, 884 on our page.

3. How to find GCD of 18, 258, 342, 884 on a calculator?

You can find the GCD of 18, 258, 342, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.