GCD of 36, 27, 42, 54 Calculator

Given Input numbers are 36, 27, 42, 54

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 27

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

1, 3, 9, 27

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 54

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

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

Greatest Common Divisior

We found the divisors of 36, 27, 42, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 27, 42, 54 is 3.

Therefore, GCD of numbers 36, 27, 42, 54 is 3

Given Input Data is 36, 27, 42, 54

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 42 is 2 x 3 x 7

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

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(36, 27) = 108

GCD(36, 27) = ( 36 x 27 ) / 108

GCD(36, 27) = 972 / 108

GCD(36, 27) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 42

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

LCM(9, 42) = 126

GCD(9, 42) = ( 9 x 42 ) / 126

GCD(9, 42) = 378 / 126

GCD(9, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

GCD of 36, 27, 42, 54 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 66, 93, 29
• GCD of 83, 16, 35, 28
• GCD of 39, 77, 56, 99
• GCD of 50, 58, 89, 89
• GCD of 81, 70, 28, 42

1. What is the GCD of 36, 27, 42, 54?

GCD of 36, 27, 42, 54 is 3

2. Where do I get the detailed procedure to find GCD of 36, 27, 42, 54?

You can find a detailed procedure to find GCD of 36, 27, 42, 54 on our page.

3. How to find GCD of 36, 27, 42, 54 on a calculator?

You can find the GCD of 36, 27, 42, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.