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, 952, 165, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 952, 165, 241 is 1
GCD(585, 952, 165, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 952, 165, 241 is 1
GCD(585, 952, 165, 241) = 1
Given Input numbers are 585, 952, 165, 241
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 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 585, 952, 165, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 952, 165, 241 is 1.
Therefore, GCD of numbers 585, 952, 165, 241 is 1
Given Input Data is 585, 952, 165, 241
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 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 241 is 241
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, 952) = 556920
GCD(585, 952) = ( 585 x 952 ) / 556920
GCD(585, 952) = 556920 / 556920
GCD(585, 952) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 585, 952, 165, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 952, 165, 241?
GCD of 585, 952, 165, 241 is 1
2. Where do I get the detailed procedure to find GCD of 585, 952, 165, 241?
You can find a detailed procedure to find GCD of 585, 952, 165, 241 on our page.
3. How to find GCD of 585, 952, 165, 241 on a calculator?
You can find the GCD of 585, 952, 165, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.