GCD of 268, 518, 18 Calculator

Given Input numbers are 268, 518, 18

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 18

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

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 268, 518, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 518, 18 is 2.

Therefore, GCD of numbers 268, 518, 18 is 2

Given Input Data is 268, 518, 18

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 18 is 2 x 3 x 3

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(268, 518) = 69412

GCD(268, 518) = ( 268 x 518 ) / 69412

GCD(268, 518) = 138824 / 69412

GCD(268, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

GCD of 268, 518, 18 is 2

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1. What is the GCD of 268, 518, 18?

GCD of 268, 518, 18 is 2

2. Where do I get the detailed procedure to find GCD of 268, 518, 18?

You can find a detailed procedure to find GCD of 268, 518, 18 on our page.

3. How to find GCD of 268, 518, 18 on a calculator?

You can find the GCD of 268, 518, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.