GCD of 27, 3, 63, 53 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 27, 3, 63, 53 i.e. 1 largest integer that divides all the numbers equally.

GCD of 27, 3, 63, 53 is 1

GCD(27, 3, 63, 53) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 27, 3, 63, 53 is 1

GCD(27, 3, 63, 53) = 1

GCD of 27,3,63,53 Calculator

GCDof 27,3,63,53 is 1

Given Input numbers are 27, 3, 63, 53

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 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 27, 3, 63, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 3, 63, 53 is 1.

Therefore, GCD of numbers 27, 3, 63, 53 is 1

Finding GCD of 27, 3, 63, 53 using Prime Factorization

Given Input Data is 27, 3, 63, 53

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 3 is 3

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 53 is 53

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

Finding GCD of 27, 3, 63, 53 using LCM Formula

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, 3) = 27

GCD(27, 3) = ( 27 x 3 ) / 27

GCD(27, 3) = 81 / 27

GCD(27, 3) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

GCD of 27, 3, 63, 53 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 27, 3, 63, 53

1. What is the GCD of 27, 3, 63, 53?

GCD of 27, 3, 63, 53 is 1


2. Where do I get the detailed procedure to find GCD of 27, 3, 63, 53?

You can find a detailed procedure to find GCD of 27, 3, 63, 53 on our page.


3. How to find GCD of 27, 3, 63, 53 on a calculator?

You can find the GCD of 27, 3, 63, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.