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 347, 728, 16, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 347, 728, 16, 793 is 1
GCD(347, 728, 16, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 347, 728, 16, 793 is 1
GCD(347, 728, 16, 793) = 1
Given Input numbers are 347, 728, 16, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 347, 728, 16, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 728, 16, 793 is 1.
Therefore, GCD of numbers 347, 728, 16, 793 is 1
Given Input Data is 347, 728, 16, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 347 is 347
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 793 is 13 x 61
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(347, 728) = 252616
GCD(347, 728) = ( 347 x 728 ) / 252616
GCD(347, 728) = 252616 / 252616
GCD(347, 728) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 793) = 793
GCD(1, 793) = ( 1 x 793 ) / 793
GCD(1, 793) = 793 / 793
GCD(1, 793) = 1
GCD of 347, 728, 16, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 347, 728, 16, 793?
GCD of 347, 728, 16, 793 is 1
2. Where do I get the detailed procedure to find GCD of 347, 728, 16, 793?
You can find a detailed procedure to find GCD of 347, 728, 16, 793 on our page.
3. How to find GCD of 347, 728, 16, 793 on a calculator?
You can find the GCD of 347, 728, 16, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.