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 15, 727, 698, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 727, 698, 779 is 1
GCD(15, 727, 698, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 727, 698, 779 is 1
GCD(15, 727, 698, 779) = 1
Given Input numbers are 15, 727, 698, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 15, 727, 698, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 727, 698, 779 is 1.
Therefore, GCD of numbers 15, 727, 698, 779 is 1
Given Input Data is 15, 727, 698, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 727 is 727
Prime Factorization of 698 is 2 x 349
Prime Factorization of 779 is 19 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(15, 727) = 10905
GCD(15, 727) = ( 15 x 727 ) / 10905
GCD(15, 727) = 10905 / 10905
GCD(15, 727) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 15, 727, 698, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 727, 698, 779?
GCD of 15, 727, 698, 779 is 1
2. Where do I get the detailed procedure to find GCD of 15, 727, 698, 779?
You can find a detailed procedure to find GCD of 15, 727, 698, 779 on our page.
3. How to find GCD of 15, 727, 698, 779 on a calculator?
You can find the GCD of 15, 727, 698, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.