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, 323, 52, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 323, 52, 270 is 1
GCD(727, 323, 52, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 323, 52, 270 is 1
GCD(727, 323, 52, 270) = 1
Given Input numbers are 727, 323, 52, 270
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 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 727, 323, 52, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 323, 52, 270 is 1.
Therefore, GCD of numbers 727, 323, 52, 270 is 1
Given Input Data is 727, 323, 52, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 323 is 17 x 19
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 270 is 2 x 3 x 3 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(727, 323) = 234821
GCD(727, 323) = ( 727 x 323 ) / 234821
GCD(727, 323) = 234821 / 234821
GCD(727, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 727, 323, 52, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 323, 52, 270?
GCD of 727, 323, 52, 270 is 1
2. Where do I get the detailed procedure to find GCD of 727, 323, 52, 270?
You can find a detailed procedure to find GCD of 727, 323, 52, 270 on our page.
3. How to find GCD of 727, 323, 52, 270 on a calculator?
You can find the GCD of 727, 323, 52, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.