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 104, 759, 15, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 759, 15, 717 is 1
GCD(104, 759, 15, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 759, 15, 717 is 1
GCD(104, 759, 15, 717) = 1
Given Input numbers are 104, 759, 15, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 104, 759, 15, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 759, 15, 717 is 1.
Therefore, GCD of numbers 104, 759, 15, 717 is 1
Given Input Data is 104, 759, 15, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 15 is 3 x 5
Prime Factorization of 717 is 3 x 239
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(104, 759) = 78936
GCD(104, 759) = ( 104 x 759 ) / 78936
GCD(104, 759) = 78936 / 78936
GCD(104, 759) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 104, 759, 15, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 759, 15, 717?
GCD of 104, 759, 15, 717 is 1
2. Where do I get the detailed procedure to find GCD of 104, 759, 15, 717?
You can find a detailed procedure to find GCD of 104, 759, 15, 717 on our page.
3. How to find GCD of 104, 759, 15, 717 on a calculator?
You can find the GCD of 104, 759, 15, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.