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, 566, 175, 158 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 566, 175, 158 is 1
GCD(17, 566, 175, 158) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 566, 175, 158 is 1
GCD(17, 566, 175, 158) = 1
Given Input numbers are 17, 566, 175, 158
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 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 17, 566, 175, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 566, 175, 158 is 1.
Therefore, GCD of numbers 17, 566, 175, 158 is 1
Given Input Data is 17, 566, 175, 158
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 566 is 2 x 283
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 158 is 2 x 79
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, 566) = 9622
GCD(17, 566) = ( 17 x 566 ) / 9622
GCD(17, 566) = 9622 / 9622
GCD(17, 566) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
GCD of 17, 566, 175, 158 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 566, 175, 158?
GCD of 17, 566, 175, 158 is 1
2. Where do I get the detailed procedure to find GCD of 17, 566, 175, 158?
You can find a detailed procedure to find GCD of 17, 566, 175, 158 on our page.
3. How to find GCD of 17, 566, 175, 158 on a calculator?
You can find the GCD of 17, 566, 175, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.