GCD of 27, 21, 52, 85 Calculator

Given Input numbers are 27, 21, 52, 85

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 21

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

1, 3, 7, 21

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 27, 21, 52, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 21, 52, 85 is 1.

Therefore, GCD of numbers 27, 21, 52, 85 is 1

Given Input Data is 27, 21, 52, 85

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 21 is 3 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 85 is 5 x 17

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(27, 21) = 189

GCD(27, 21) = ( 27 x 21 ) / 189

GCD(27, 21) = 567 / 189

GCD(27, 21) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

GCD of 27, 21, 52, 85 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 16, 91, 51
• GCD of 32, 85, 81, 28
• GCD of 42, 69, 42, 96
• GCD of 93, 59, 37, 54
• GCD of 46, 10, 61, 94

1. What is the GCD of 27, 21, 52, 85?

GCD of 27, 21, 52, 85 is 1

2. Where do I get the detailed procedure to find GCD of 27, 21, 52, 85?

You can find a detailed procedure to find GCD of 27, 21, 52, 85 on our page.

3. How to find GCD of 27, 21, 52, 85 on a calculator?

You can find the GCD of 27, 21, 52, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.