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 205, 185, 85, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 205, 185, 85, 337 is 1
GCD(205, 185, 85, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 205, 185, 85, 337 is 1
GCD(205, 185, 85, 337) = 1
Given Input numbers are 205, 185, 85, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 205, 185, 85, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 185, 85, 337 is 1.
Therefore, GCD of numbers 205, 185, 85, 337 is 1
Given Input Data is 205, 185, 85, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 205 is 5 x 41
Prime Factorization of 185 is 5 x 37
Prime Factorization of 85 is 5 x 17
Prime Factorization of 337 is 337
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(205, 185) = 7585
GCD(205, 185) = ( 205 x 185 ) / 7585
GCD(205, 185) = 37925 / 7585
GCD(205, 185) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 85) = 85
GCD(5, 85) = ( 5 x 85 ) / 85
GCD(5, 85) = 425 / 85
GCD(5, 85) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 337) = 1685
GCD(5, 337) = ( 5 x 337 ) / 1685
GCD(5, 337) = 1685 / 1685
GCD(5, 337) = 1
GCD of 205, 185, 85, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 205, 185, 85, 337?
GCD of 205, 185, 85, 337 is 1
2. Where do I get the detailed procedure to find GCD of 205, 185, 85, 337?
You can find a detailed procedure to find GCD of 205, 185, 85, 337 on our page.
3. How to find GCD of 205, 185, 85, 337 on a calculator?
You can find the GCD of 205, 185, 85, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.