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 144, 134, 301, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 134, 301, 585 is 1
GCD(144, 134, 301, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 134, 301, 585 is 1
GCD(144, 134, 301, 585) = 1
Given Input numbers are 144, 134, 301, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
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
Greatest Common Divisior
We found the divisors of 144, 134, 301, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 134, 301, 585 is 1.
Therefore, GCD of numbers 144, 134, 301, 585 is 1
Given Input Data is 144, 134, 301, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 134 is 2 x 67
Prime Factorization of 301 is 7 x 43
Prime Factorization of 585 is 3 x 3 x 5 x 13
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(144, 134) = 9648
GCD(144, 134) = ( 144 x 134 ) / 9648
GCD(144, 134) = 19296 / 9648
GCD(144, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 301) = 602
GCD(2, 301) = ( 2 x 301 ) / 602
GCD(2, 301) = 602 / 602
GCD(2, 301) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 1
GCD of 144, 134, 301, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 134, 301, 585?
GCD of 144, 134, 301, 585 is 1
2. Where do I get the detailed procedure to find GCD of 144, 134, 301, 585?
You can find a detailed procedure to find GCD of 144, 134, 301, 585 on our page.
3. How to find GCD of 144, 134, 301, 585 on a calculator?
You can find the GCD of 144, 134, 301, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.