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, 675, 60, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 675, 60, 853 is 1
GCD(170, 675, 60, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 675, 60, 853 is 1
GCD(170, 675, 60, 853) = 1
Given Input numbers are 170, 675, 60, 853
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 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 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
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 170, 675, 60, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 675, 60, 853 is 1.
Therefore, GCD of numbers 170, 675, 60, 853 is 1
Given Input Data is 170, 675, 60, 853
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 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 853 is 853
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, 675) = 22950
GCD(170, 675) = ( 170 x 675 ) / 22950
GCD(170, 675) = 114750 / 22950
GCD(170, 675) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 60) = 60
GCD(5, 60) = ( 5 x 60 ) / 60
GCD(5, 60) = 300 / 60
GCD(5, 60) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 853) = 4265
GCD(5, 853) = ( 5 x 853 ) / 4265
GCD(5, 853) = 4265 / 4265
GCD(5, 853) = 1
GCD of 170, 675, 60, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 675, 60, 853?
GCD of 170, 675, 60, 853 is 1
2. Where do I get the detailed procedure to find GCD of 170, 675, 60, 853?
You can find a detailed procedure to find GCD of 170, 675, 60, 853 on our page.
3. How to find GCD of 170, 675, 60, 853 on a calculator?
You can find the GCD of 170, 675, 60, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.