GCD of 18, 15, 60, 66 Calculator

Given Input numbers are 18, 15, 60, 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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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, 15, 60, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 15, 60, 66 is 3.

Therefore, GCD of numbers 18, 15, 60, 66 is 3

Given Input Data is 18, 15, 60, 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 15 is 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 66 is 2 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 15) = 90

GCD(18, 15) = ( 18 x 15 ) / 90

GCD(18, 15) = 270 / 90

GCD(18, 15) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

GCD of 18, 15, 60, 66 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 85, 31, 72
• GCD of 93, 96, 61, 74
• GCD of 83, 25, 37, 95
• GCD of 35, 90, 39, 67
• GCD of 76, 24, 71, 71

1. What is the GCD of 18, 15, 60, 66?

GCD of 18, 15, 60, 66 is 3

2. Where do I get the detailed procedure to find GCD of 18, 15, 60, 66?

You can find a detailed procedure to find GCD of 18, 15, 60, 66 on our page.

3. How to find GCD of 18, 15, 60, 66 on a calculator?

You can find the GCD of 18, 15, 60, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.