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 611, 675, 17, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 611, 675, 17, 229 is 1
GCD(611, 675, 17, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 611, 675, 17, 229 is 1
GCD(611, 675, 17, 229) = 1
Given Input numbers are 611, 675, 17, 229
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 611, 675, 17, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 611, 675, 17, 229 is 1.
Therefore, GCD of numbers 611, 675, 17, 229 is 1
Given Input Data is 611, 675, 17, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 611 is 13 x 47
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 17 is 17
Prime Factorization of 229 is 229
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(611, 675) = 412425
GCD(611, 675) = ( 611 x 675 ) / 412425
GCD(611, 675) = 412425 / 412425
GCD(611, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
GCD(1, 229) = 229 / 229
GCD(1, 229) = 1
GCD of 611, 675, 17, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 611, 675, 17, 229?
GCD of 611, 675, 17, 229 is 1
2. Where do I get the detailed procedure to find GCD of 611, 675, 17, 229?
You can find a detailed procedure to find GCD of 611, 675, 17, 229 on our page.
3. How to find GCD of 611, 675, 17, 229 on a calculator?
You can find the GCD of 611, 675, 17, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.