GCD of 66, 60, 81, 87 Calculator

Given Input numbers are 66, 60, 81, 87

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 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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 66, 60, 81, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 60, 81, 87 is 3.

Therefore, GCD of numbers 66, 60, 81, 87 is 3

Given Input Data is 66, 60, 81, 87

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 60 is 2 x 2 x 3 x 5

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 87 is 3 x 29

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(66, 60) = 660

GCD(66, 60) = ( 66 x 60 ) / 660

GCD(66, 60) = 3960 / 660

GCD(66, 60) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

GCD of 66, 60, 81, 87 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 14, 65, 61
• GCD of 23, 14, 58, 18
• GCD of 49, 89, 41, 58
• GCD of 17, 15, 12, 91
• GCD of 87, 57, 22, 10

1. What is the GCD of 66, 60, 81, 87?

GCD of 66, 60, 81, 87 is 3

2. Where do I get the detailed procedure to find GCD of 66, 60, 81, 87?

You can find a detailed procedure to find GCD of 66, 60, 81, 87 on our page.

3. How to find GCD of 66, 60, 81, 87 on a calculator?

You can find the GCD of 66, 60, 81, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.