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 739, 817, 335, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 739, 817, 335, 704 is 1
GCD(739, 817, 335, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 739, 817, 335, 704 is 1
GCD(739, 817, 335, 704) = 1
Given Input numbers are 739, 817, 335, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 739, 817, 335, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 817, 335, 704 is 1.
Therefore, GCD of numbers 739, 817, 335, 704 is 1
Given Input Data is 739, 817, 335, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 739 is 739
Prime Factorization of 817 is 19 x 43
Prime Factorization of 335 is 5 x 67
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(739, 817) = 603763
GCD(739, 817) = ( 739 x 817 ) / 603763
GCD(739, 817) = 603763 / 603763
GCD(739, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 739, 817, 335, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 739, 817, 335, 704?
GCD of 739, 817, 335, 704 is 1
2. Where do I get the detailed procedure to find GCD of 739, 817, 335, 704?
You can find a detailed procedure to find GCD of 739, 817, 335, 704 on our page.
3. How to find GCD of 739, 817, 335, 704 on a calculator?
You can find the GCD of 739, 817, 335, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.