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 374, 990, 595, 815 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 990, 595, 815 is 1
GCD(374, 990, 595, 815) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 990, 595, 815 is 1
GCD(374, 990, 595, 815) = 1
Given Input numbers are 374, 990, 595, 815
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
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 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Greatest Common Divisior
We found the divisors of 374, 990, 595, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 990, 595, 815 is 1.
Therefore, GCD of numbers 374, 990, 595, 815 is 1
Given Input Data is 374, 990, 595, 815
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 815 is 5 x 163
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(374, 990) = 16830
GCD(374, 990) = ( 374 x 990 ) / 16830
GCD(374, 990) = 370260 / 16830
GCD(374, 990) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 595) = 13090
GCD(22, 595) = ( 22 x 595 ) / 13090
GCD(22, 595) = 13090 / 13090
GCD(22, 595) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
GCD of 374, 990, 595, 815 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 990, 595, 815?
GCD of 374, 990, 595, 815 is 1
2. Where do I get the detailed procedure to find GCD of 374, 990, 595, 815?
You can find a detailed procedure to find GCD of 374, 990, 595, 815 on our page.
3. How to find GCD of 374, 990, 595, 815 on a calculator?
You can find the GCD of 374, 990, 595, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.