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 170, 485, 38, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 485, 38, 559 is 1
GCD(170, 485, 38, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 485, 38, 559 is 1
GCD(170, 485, 38, 559) = 1
Given Input numbers are 170, 485, 38, 559
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 170, 485, 38, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 485, 38, 559 is 1.
Therefore, GCD of numbers 170, 485, 38, 559 is 1
Given Input Data is 170, 485, 38, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 485 is 5 x 97
Prime Factorization of 38 is 2 x 19
Prime Factorization of 559 is 13 x 43
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(170, 485) = 16490
GCD(170, 485) = ( 170 x 485 ) / 16490
GCD(170, 485) = 82450 / 16490
GCD(170, 485) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 38) = 190
GCD(5, 38) = ( 5 x 38 ) / 190
GCD(5, 38) = 190 / 190
GCD(5, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 170, 485, 38, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 485, 38, 559?
GCD of 170, 485, 38, 559 is 1
2. Where do I get the detailed procedure to find GCD of 170, 485, 38, 559?
You can find a detailed procedure to find GCD of 170, 485, 38, 559 on our page.
3. How to find GCD of 170, 485, 38, 559 on a calculator?
You can find the GCD of 170, 485, 38, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.