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 numbers 561, 216, 55, 865 is 1
GCD(561, 216, 55, 865) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.