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 216, 422, 919, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 422, 919, 110 is 1
GCD(216, 422, 919, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 422, 919, 110 is 1
GCD(216, 422, 919, 110) = 1
Given Input numbers are 216, 422, 919, 110
To find the GCD of numbers using factoring list out all the divisors of each number
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 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 216, 422, 919, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 422, 919, 110 is 1.
Therefore, GCD of numbers 216, 422, 919, 110 is 1
Given Input Data is 216, 422, 919, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 422 is 2 x 211
Prime Factorization of 919 is 919
Prime Factorization of 110 is 2 x 5 x 11
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(216, 422) = 45576
GCD(216, 422) = ( 216 x 422 ) / 45576
GCD(216, 422) = 91152 / 45576
GCD(216, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 919
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 919) = 1838
GCD(2, 919) = ( 2 x 919 ) / 1838
GCD(2, 919) = 1838 / 1838
GCD(2, 919) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 216, 422, 919, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 422, 919, 110?
GCD of 216, 422, 919, 110 is 1
2. Where do I get the detailed procedure to find GCD of 216, 422, 919, 110?
You can find a detailed procedure to find GCD of 216, 422, 919, 110 on our page.
3. How to find GCD of 216, 422, 919, 110 on a calculator?
You can find the GCD of 216, 422, 919, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.