GCD of 61, 17, 27, 36 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 61, 17, 27, 36 i.e. 1 largest integer that divides all the numbers equally.

GCD of 61, 17, 27, 36 is 1

GCD(61, 17, 27, 36) = 1

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

GCD of

GCD of numbers 61, 17, 27, 36 is 1

GCD(61, 17, 27, 36) = 1

GCD of 61,17,27,36 Calculator

GCDof 61,17,27,36 is 1

Given Input numbers are 61, 17, 27, 36

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 27

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

1, 3, 9, 27

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

Greatest Common Divisior

We found the divisors of 61, 17, 27, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 17, 27, 36 is 1.

Therefore, GCD of numbers 61, 17, 27, 36 is 1

Finding GCD of 61, 17, 27, 36 using Prime Factorization

Given Input Data is 61, 17, 27, 36

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

Prime Factorization of 61 is 61

Prime Factorization of 17 is 17

Prime Factorization of 27 is 3 x 3 x 3

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

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

Finding GCD of 61, 17, 27, 36 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(61, 17) = 1037

GCD(61, 17) = ( 61 x 17 ) / 1037

GCD(61, 17) = 1037 / 1037

GCD(61, 17) = 1


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

GCD of 61, 17, 27, 36 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 61, 17, 27, 36

1. What is the GCD of 61, 17, 27, 36?

GCD of 61, 17, 27, 36 is 1


2. Where do I get the detailed procedure to find GCD of 61, 17, 27, 36?

You can find a detailed procedure to find GCD of 61, 17, 27, 36 on our page.


3. How to find GCD of 61, 17, 27, 36 on a calculator?

You can find the GCD of 61, 17, 27, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.