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, 259, 60 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 259, 60 is 1
GCD(170, 259, 60) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 259, 60 is 1
GCD(170, 259, 60) = 1
Given Input numbers are 170, 259, 60
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 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greatest Common Divisior
We found the divisors of 170, 259, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 259, 60 is 1.
Therefore, GCD of numbers 170, 259, 60 is 1
Given Input Data is 170, 259, 60
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 259 is 7 x 37
Prime Factorization of 60 is 2 x 2 x 3 x 5
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, 259) = 44030
GCD(170, 259) = ( 170 x 259 ) / 44030
GCD(170, 259) = 44030 / 44030
GCD(170, 259) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
GCD of 170, 259, 60 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 259, 60?
GCD of 170, 259, 60 is 1
2. Where do I get the detailed procedure to find GCD of 170, 259, 60?
You can find a detailed procedure to find GCD of 170, 259, 60 on our page.
3. How to find GCD of 170, 259, 60 on a calculator?
You can find the GCD of 170, 259, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.