GCD of 27, 54, 87, 21 Calculator

Given Input numbers are 27, 54, 87, 21

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 87

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

1, 3, 29, 87

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 27, 54, 87, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 54, 87, 21 is 3.

Therefore, GCD of numbers 27, 54, 87, 21 is 3

Given Input Data is 27, 54, 87, 21

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 87 is 3 x 29

Prime Factorization of 21 is 3 x 7

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(27, 54) = 54

GCD(27, 54) = ( 27 x 54 ) / 54

GCD(27, 54) = 1458 / 54

GCD(27, 54) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 87

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

LCM(27, 87) = 783

GCD(27, 87) = ( 27 x 87 ) / 783

GCD(27, 87) = 2349 / 783

GCD(27, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

GCD of 27, 54, 87, 21 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 42, 50, 66
• GCD of 23, 90, 78, 55
• GCD of 12, 81, 63, 11
• GCD of 15, 38, 48, 38
• GCD of 15, 23, 12, 51

1. What is the GCD of 27, 54, 87, 21?

GCD of 27, 54, 87, 21 is 3

2. Where do I get the detailed procedure to find GCD of 27, 54, 87, 21?

You can find a detailed procedure to find GCD of 27, 54, 87, 21 on our page.

3. How to find GCD of 27, 54, 87, 21 on a calculator?

You can find the GCD of 27, 54, 87, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.