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 727, 396, 646, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 396, 646, 170 is 1
GCD(727, 396, 646, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 396, 646, 170 is 1
GCD(727, 396, 646, 170) = 1
Given Input numbers are 727, 396, 646, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 727, 396, 646, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 396, 646, 170 is 1.
Therefore, GCD of numbers 727, 396, 646, 170 is 1
Given Input Data is 727, 396, 646, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 170 is 2 x 5 x 17
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(727, 396) = 287892
GCD(727, 396) = ( 727 x 396 ) / 287892
GCD(727, 396) = 287892 / 287892
GCD(727, 396) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 727, 396, 646, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 396, 646, 170?
GCD of 727, 396, 646, 170 is 1
2. Where do I get the detailed procedure to find GCD of 727, 396, 646, 170?
You can find a detailed procedure to find GCD of 727, 396, 646, 170 on our page.
3. How to find GCD of 727, 396, 646, 170 on a calculator?
You can find the GCD of 727, 396, 646, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.