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, 935, 19, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 595, 935, 19, 732 is 1
GCD(595, 935, 19, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 595, 935, 19, 732 is 1
GCD(595, 935, 19, 732) = 1
Given Input numbers are 595, 935, 19, 732
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 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 595, 935, 19, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 935, 19, 732 is 1.
Therefore, GCD of numbers 595, 935, 19, 732 is 1
Given Input Data is 595, 935, 19, 732
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 935 is 5 x 11 x 17
Prime Factorization of 19 is 19
Prime Factorization of 732 is 2 x 2 x 3 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(595, 935) = 6545
GCD(595, 935) = ( 595 x 935 ) / 6545
GCD(595, 935) = 556325 / 6545
GCD(595, 935) = 85
Step2:
Here we consider the GCD from the above i.e. 85 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(85, 19) = 1615
GCD(85, 19) = ( 85 x 19 ) / 1615
GCD(85, 19) = 1615 / 1615
GCD(85, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 595, 935, 19, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 595, 935, 19, 732?
GCD of 595, 935, 19, 732 is 1
2. Where do I get the detailed procedure to find GCD of 595, 935, 19, 732?
You can find a detailed procedure to find GCD of 595, 935, 19, 732 on our page.
3. How to find GCD of 595, 935, 19, 732 on a calculator?
You can find the GCD of 595, 935, 19, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.