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 17, 210, 222, 239 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 210, 222, 239 is 1
GCD(17, 210, 222, 239) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 210, 222, 239 is 1
GCD(17, 210, 222, 239) = 1
Given Input numbers are 17, 210, 222, 239
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Greatest Common Divisior
We found the divisors of 17, 210, 222, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 210, 222, 239 is 1.
Therefore, GCD of numbers 17, 210, 222, 239 is 1
Given Input Data is 17, 210, 222, 239
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 239 is 239
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(17, 210) = 3570
GCD(17, 210) = ( 17 x 210 ) / 3570
GCD(17, 210) = 3570 / 3570
GCD(17, 210) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
GCD of 17, 210, 222, 239 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 210, 222, 239?
GCD of 17, 210, 222, 239 is 1
2. Where do I get the detailed procedure to find GCD of 17, 210, 222, 239?
You can find a detailed procedure to find GCD of 17, 210, 222, 239 on our page.
3. How to find GCD of 17, 210, 222, 239 on a calculator?
You can find the GCD of 17, 210, 222, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.