GCD of 75, 36, 20, 27 Calculator

Given Input numbers are 75, 36, 20, 27

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 27

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

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 75, 36, 20, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 36, 20, 27 is 1.

Therefore, GCD of numbers 75, 36, 20, 27 is 1

Given Input Data is 75, 36, 20, 27

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

Prime Factorization of 75 is 3 x 5 x 5

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 27 is 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(75, 36) = 900

GCD(75, 36) = ( 75 x 36 ) / 900

GCD(75, 36) = 2700 / 900

GCD(75, 36) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

GCD of 75, 36, 20, 27 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 96, 57, 56
• GCD of 68, 44, 44, 76
• GCD of 70, 80, 88, 57
• GCD of 99, 62, 69, 82
• GCD of 59, 82, 53, 51

1. What is the GCD of 75, 36, 20, 27?

GCD of 75, 36, 20, 27 is 1

2. Where do I get the detailed procedure to find GCD of 75, 36, 20, 27?

You can find a detailed procedure to find GCD of 75, 36, 20, 27 on our page.

3. How to find GCD of 75, 36, 20, 27 on a calculator?

You can find the GCD of 75, 36, 20, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.