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 595, 614, 165, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 595, 614, 165, 291 is 1
GCD(595, 614, 165, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 595, 614, 165, 291 is 1
GCD(595, 614, 165, 291) = 1
Given Input numbers are 595, 614, 165, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 595, 614, 165, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 614, 165, 291 is 1.
Therefore, GCD of numbers 595, 614, 165, 291 is 1
Given Input Data is 595, 614, 165, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 614 is 2 x 307
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 291 is 3 x 97
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(595, 614) = 365330
GCD(595, 614) = ( 595 x 614 ) / 365330
GCD(595, 614) = 365330 / 365330
GCD(595, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 595, 614, 165, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 595, 614, 165, 291?
GCD of 595, 614, 165, 291 is 1
2. Where do I get the detailed procedure to find GCD of 595, 614, 165, 291?
You can find a detailed procedure to find GCD of 595, 614, 165, 291 on our page.
3. How to find GCD of 595, 614, 165, 291 on a calculator?
You can find the GCD of 595, 614, 165, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.