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, 487, 800, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 487, 800, 369 is 1
GCD(727, 487, 800, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 487, 800, 369 is 1
GCD(727, 487, 800, 369) = 1
Given Input numbers are 727, 487, 800, 369
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 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 727, 487, 800, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 487, 800, 369 is 1.
Therefore, GCD of numbers 727, 487, 800, 369 is 1
Given Input Data is 727, 487, 800, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 487 is 487
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 369 is 3 x 3 x 41
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, 487) = 354049
GCD(727, 487) = ( 727 x 487 ) / 354049
GCD(727, 487) = 354049 / 354049
GCD(727, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 727, 487, 800, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 487, 800, 369?
GCD of 727, 487, 800, 369 is 1
2. Where do I get the detailed procedure to find GCD of 727, 487, 800, 369?
You can find a detailed procedure to find GCD of 727, 487, 800, 369 on our page.
3. How to find GCD of 727, 487, 800, 369 on a calculator?
You can find the GCD of 727, 487, 800, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.