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 222, 918, 17, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 222, 918, 17, 385 is 1
GCD(222, 918, 17, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 222, 918, 17, 385 is 1
GCD(222, 918, 17, 385) = 1
Given Input numbers are 222, 918, 17, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 222, 918, 17, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 918, 17, 385 is 1.
Therefore, GCD of numbers 222, 918, 17, 385 is 1
Given Input Data is 222, 918, 17, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 17 is 17
Prime Factorization of 385 is 5 x 7 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(222, 918) = 33966
GCD(222, 918) = ( 222 x 918 ) / 33966
GCD(222, 918) = 203796 / 33966
GCD(222, 918) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 17) = 102
GCD(6, 17) = ( 6 x 17 ) / 102
GCD(6, 17) = 102 / 102
GCD(6, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 222, 918, 17, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 222, 918, 17, 385?
GCD of 222, 918, 17, 385 is 1
2. Where do I get the detailed procedure to find GCD of 222, 918, 17, 385?
You can find a detailed procedure to find GCD of 222, 918, 17, 385 on our page.
3. How to find GCD of 222, 918, 17, 385 on a calculator?
You can find the GCD of 222, 918, 17, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.