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, 187, 65 i.e. 1 largest integer that divides all the numbers equally.
GCD of 595, 187, 65 is 1
GCD(595, 187, 65) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 595, 187, 65 is 1
GCD(595, 187, 65) = 1
Given Input numbers are 595, 187, 65
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 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Greatest Common Divisior
We found the divisors of 595, 187, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 187, 65 is 1.
Therefore, GCD of numbers 595, 187, 65 is 1
Given Input Data is 595, 187, 65
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 187 is 11 x 17
Prime Factorization of 65 is 5 x 13
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, 187) = 6545
GCD(595, 187) = ( 595 x 187 ) / 6545
GCD(595, 187) = 111265 / 6545
GCD(595, 187) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 65) = 1105
GCD(17, 65) = ( 17 x 65 ) / 1105
GCD(17, 65) = 1105 / 1105
GCD(17, 65) = 1
GCD of 595, 187, 65 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 595, 187, 65?
GCD of 595, 187, 65 is 1
2. Where do I get the detailed procedure to find GCD of 595, 187, 65?
You can find a detailed procedure to find GCD of 595, 187, 65 on our page.
3. How to find GCD of 595, 187, 65 on a calculator?
You can find the GCD of 595, 187, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.