GCD of 18, 56, 16, 66 Calculator

Given Input numbers are 18, 56, 16, 66

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 18, 56, 16, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 56, 16, 66 is 2.

Therefore, GCD of numbers 18, 56, 16, 66 is 2

Given Input Data is 18, 56, 16, 66

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 56 is 2 x 2 x 2 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 66 is 2 x 3 x 11

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, 56) = 504

GCD(18, 56) = ( 18 x 56 ) / 504

GCD(18, 56) = 1008 / 504

GCD(18, 56) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

GCD of 18, 56, 16, 66 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 48, 37, 47
• GCD of 25, 16, 10, 22
• GCD of 61, 16, 41, 95
• GCD of 22, 87, 28, 57
• GCD of 39, 59, 17, 34

1. What is the GCD of 18, 56, 16, 66?

GCD of 18, 56, 16, 66 is 2

2. Where do I get the detailed procedure to find GCD of 18, 56, 16, 66?

You can find a detailed procedure to find GCD of 18, 56, 16, 66 on our page.

3. How to find GCD of 18, 56, 16, 66 on a calculator?

You can find the GCD of 18, 56, 16, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.