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 697, 328, 41, 593 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 328, 41, 593 is 1
GCD(697, 328, 41, 593) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 328, 41, 593 is 1
GCD(697, 328, 41, 593) = 1
Given Input numbers are 697, 328, 41, 593
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Greatest Common Divisior
We found the divisors of 697, 328, 41, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 328, 41, 593 is 1.
Therefore, GCD of numbers 697, 328, 41, 593 is 1
Given Input Data is 697, 328, 41, 593
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 41 is 41
Prime Factorization of 593 is 593
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(697, 328) = 5576
GCD(697, 328) = ( 697 x 328 ) / 5576
GCD(697, 328) = 228616 / 5576
GCD(697, 328) = 41
Step2:
Here we consider the GCD from the above i.e. 41 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 41) = 41
GCD(41, 41) = ( 41 x 41 ) / 41
GCD(41, 41) = 1681 / 41
GCD(41, 41) = 41
Step3:
Here we consider the GCD from the above i.e. 41 as first number and the next as 593
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 593) = 24313
GCD(41, 593) = ( 41 x 593 ) / 24313
GCD(41, 593) = 24313 / 24313
GCD(41, 593) = 1
GCD of 697, 328, 41, 593 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 328, 41, 593?
GCD of 697, 328, 41, 593 is 1
2. Where do I get the detailed procedure to find GCD of 697, 328, 41, 593?
You can find a detailed procedure to find GCD of 697, 328, 41, 593 on our page.
3. How to find GCD of 697, 328, 41, 593 on a calculator?
You can find the GCD of 697, 328, 41, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.