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 580, 185, 602, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 185, 602, 965 is 1
GCD(580, 185, 602, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 185, 602, 965 is 1
GCD(580, 185, 602, 965) = 1
Given Input numbers are 580, 185, 602, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 580, 185, 602, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 185, 602, 965 is 1.
Therefore, GCD of numbers 580, 185, 602, 965 is 1
Given Input Data is 580, 185, 602, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 185 is 5 x 37
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 965 is 5 x 193
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(580, 185) = 21460
GCD(580, 185) = ( 580 x 185 ) / 21460
GCD(580, 185) = 107300 / 21460
GCD(580, 185) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 602) = 3010
GCD(5, 602) = ( 5 x 602 ) / 3010
GCD(5, 602) = 3010 / 3010
GCD(5, 602) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 580, 185, 602, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 185, 602, 965?
GCD of 580, 185, 602, 965 is 1
2. Where do I get the detailed procedure to find GCD of 580, 185, 602, 965?
You can find a detailed procedure to find GCD of 580, 185, 602, 965 on our page.
3. How to find GCD of 580, 185, 602, 965 on a calculator?
You can find the GCD of 580, 185, 602, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.