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, 568, 14, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 568, 14, 698 is 1
GCD(727, 568, 14, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 568, 14, 698 is 1
GCD(727, 568, 14, 698) = 1
Given Input numbers are 727, 568, 14, 698
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 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 727, 568, 14, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 568, 14, 698 is 1.
Therefore, GCD of numbers 727, 568, 14, 698 is 1
Given Input Data is 727, 568, 14, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 14 is 2 x 7
Prime Factorization of 698 is 2 x 349
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, 568) = 412936
GCD(727, 568) = ( 727 x 568 ) / 412936
GCD(727, 568) = 412936 / 412936
GCD(727, 568) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
GCD of 727, 568, 14, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 568, 14, 698?
GCD of 727, 568, 14, 698 is 1
2. Where do I get the detailed procedure to find GCD of 727, 568, 14, 698?
You can find a detailed procedure to find GCD of 727, 568, 14, 698 on our page.
3. How to find GCD of 727, 568, 14, 698 on a calculator?
You can find the GCD of 727, 568, 14, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.