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 365, 185, 535, 580 i.e. 5 largest integer that divides all the numbers equally.
GCD of 365, 185, 535, 580 is 5
GCD(365, 185, 535, 580) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 185, 535, 580 is 5
GCD(365, 185, 535, 580) = 5
Given Input numbers are 365, 185, 535, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
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
Greatest Common Divisior
We found the divisors of 365, 185, 535, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 185, 535, 580 is 5.
Therefore, GCD of numbers 365, 185, 535, 580 is 5
Given Input Data is 365, 185, 535, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 185 is 5 x 37
Prime Factorization of 535 is 5 x 107
Prime Factorization of 580 is 2 x 2 x 5 x 29
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(365, 185) = 13505
GCD(365, 185) = ( 365 x 185 ) / 13505
GCD(365, 185) = 67525 / 13505
GCD(365, 185) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 535) = 535
GCD(5, 535) = ( 5 x 535 ) / 535
GCD(5, 535) = 2675 / 535
GCD(5, 535) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 580) = 580
GCD(5, 580) = ( 5 x 580 ) / 580
GCD(5, 580) = 2900 / 580
GCD(5, 580) = 5
GCD of 365, 185, 535, 580 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 185, 535, 580?
GCD of 365, 185, 535, 580 is 5
2. Where do I get the detailed procedure to find GCD of 365, 185, 535, 580?
You can find a detailed procedure to find GCD of 365, 185, 535, 580 on our page.
3. How to find GCD of 365, 185, 535, 580 on a calculator?
You can find the GCD of 365, 185, 535, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.