GCD of 66, 34, 18, 30 Calculator

Given Input numbers are 66, 34, 18, 30

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

Divisors of 66

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

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 66, 34, 18, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 34, 18, 30 is 2.

Therefore, GCD of numbers 66, 34, 18, 30 is 2

Given Input Data is 66, 34, 18, 30

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 34 is 2 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

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(66, 34) = 1122

GCD(66, 34) = ( 66 x 34 ) / 1122

GCD(66, 34) = 2244 / 1122

GCD(66, 34) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

GCD of 66, 34, 18, 30 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 17, 42, 86
• GCD of 33, 37, 41, 27
• GCD of 19, 19, 26, 62
• GCD of 76, 57, 17, 67
• GCD of 76, 89, 41, 86

1. What is the GCD of 66, 34, 18, 30?

GCD of 66, 34, 18, 30 is 2

2. Where do I get the detailed procedure to find GCD of 66, 34, 18, 30?

You can find a detailed procedure to find GCD of 66, 34, 18, 30 on our page.

3. How to find GCD of 66, 34, 18, 30 on a calculator?

You can find the GCD of 66, 34, 18, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.