GCD of 561, 216, 55, 865 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 561, 216, 55, 865 i.e. 1 largest integer that divides all the numbers equally.

GCD of 561, 216, 55, 865 is 1

GCD(561, 216, 55, 865) = 1

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

GCD of

GCD of numbers 561, 216, 55, 865 is 1

GCD(561, 216, 55, 865) = 1

GCD of 561,216,55,865 Calculator

GCDof 561,216,55,865 is 1

Given Input numbers are 561, 216, 55, 865

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 561, 216, 55, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 216, 55, 865 is 1.

Therefore, GCD of numbers 561, 216, 55, 865 is 1

Finding GCD of 561, 216, 55, 865 using Prime Factorization

Given Input Data is 561, 216, 55, 865

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 55 is 5 x 11

Prime Factorization of 865 is 5 x 173

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

Finding GCD of 561, 216, 55, 865 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(561, 216) = 40392

GCD(561, 216) = ( 561 x 216 ) / 40392

GCD(561, 216) = 121176 / 40392

GCD(561, 216) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 561, 216, 55, 865 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 561, 216, 55, 865

1. What is the GCD of 561, 216, 55, 865?

GCD of 561, 216, 55, 865 is 1


2. Where do I get the detailed procedure to find GCD of 561, 216, 55, 865?

You can find a detailed procedure to find GCD of 561, 216, 55, 865 on our page.


3. How to find GCD of 561, 216, 55, 865 on a calculator?

You can find the GCD of 561, 216, 55, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.