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, 350, 87, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 595, 350, 87, 331 is 1
GCD(595, 350, 87, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 595, 350, 87, 331 is 1
GCD(595, 350, 87, 331) = 1
Given Input numbers are 595, 350, 87, 331
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 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 595, 350, 87, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 350, 87, 331 is 1.
Therefore, GCD of numbers 595, 350, 87, 331 is 1
Given Input Data is 595, 350, 87, 331
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 350 is 2 x 5 x 5 x 7
Prime Factorization of 87 is 3 x 29
Prime Factorization of 331 is 331
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, 350) = 5950
GCD(595, 350) = ( 595 x 350 ) / 5950
GCD(595, 350) = 208250 / 5950
GCD(595, 350) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 87) = 3045
GCD(35, 87) = ( 35 x 87 ) / 3045
GCD(35, 87) = 3045 / 3045
GCD(35, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 595, 350, 87, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 595, 350, 87, 331?
GCD of 595, 350, 87, 331 is 1
2. Where do I get the detailed procedure to find GCD of 595, 350, 87, 331?
You can find a detailed procedure to find GCD of 595, 350, 87, 331 on our page.
3. How to find GCD of 595, 350, 87, 331 on a calculator?
You can find the GCD of 595, 350, 87, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.