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, 968, 13, 933 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 968, 13, 933 is 1
GCD(170, 968, 13, 933) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 968, 13, 933 is 1
GCD(170, 968, 13, 933) = 1
Given Input numbers are 170, 968, 13, 933
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 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 170, 968, 13, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 968, 13, 933 is 1.
Therefore, GCD of numbers 170, 968, 13, 933 is 1
Given Input Data is 170, 968, 13, 933
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 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 13 is 13
Prime Factorization of 933 is 3 x 311
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, 968) = 82280
GCD(170, 968) = ( 170 x 968 ) / 82280
GCD(170, 968) = 164560 / 82280
GCD(170, 968) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
GCD of 170, 968, 13, 933 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 968, 13, 933?
GCD of 170, 968, 13, 933 is 1
2. Where do I get the detailed procedure to find GCD of 170, 968, 13, 933?
You can find a detailed procedure to find GCD of 170, 968, 13, 933 on our page.
3. How to find GCD of 170, 968, 13, 933 on a calculator?
You can find the GCD of 170, 968, 13, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.