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 585, 142, 603, 191 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 142, 603, 191 is 1
GCD(585, 142, 603, 191) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 142, 603, 191 is 1
GCD(585, 142, 603, 191) = 1
Given Input numbers are 585, 142, 603, 191
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Greatest Common Divisior
We found the divisors of 585, 142, 603, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 142, 603, 191 is 1.
Therefore, GCD of numbers 585, 142, 603, 191 is 1
Given Input Data is 585, 142, 603, 191
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 142 is 2 x 71
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 191 is 191
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(585, 142) = 83070
GCD(585, 142) = ( 585 x 142 ) / 83070
GCD(585, 142) = 83070 / 83070
GCD(585, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 603) = 603
GCD(1, 603) = ( 1 x 603 ) / 603
GCD(1, 603) = 603 / 603
GCD(1, 603) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
GCD(1, 191) = 191 / 191
GCD(1, 191) = 1
GCD of 585, 142, 603, 191 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 142, 603, 191?
GCD of 585, 142, 603, 191 is 1
2. Where do I get the detailed procedure to find GCD of 585, 142, 603, 191?
You can find a detailed procedure to find GCD of 585, 142, 603, 191 on our page.
3. How to find GCD of 585, 142, 603, 191 on a calculator?
You can find the GCD of 585, 142, 603, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.