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, 293, 30, 583 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 293, 30, 583 is 1
GCD(144, 293, 30, 583) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 293, 30, 583 is 1
GCD(144, 293, 30, 583) = 1
Given Input numbers are 144, 293, 30, 583
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 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Greatest Common Divisior
We found the divisors of 144, 293, 30, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 293, 30, 583 is 1.
Therefore, GCD of numbers 144, 293, 30, 583 is 1
Given Input Data is 144, 293, 30, 583
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 293 is 293
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 583 is 11 x 53
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, 293) = 42192
GCD(144, 293) = ( 144 x 293 ) / 42192
GCD(144, 293) = 42192 / 42192
GCD(144, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 583) = 583
GCD(1, 583) = ( 1 x 583 ) / 583
GCD(1, 583) = 583 / 583
GCD(1, 583) = 1
GCD of 144, 293, 30, 583 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 293, 30, 583?
GCD of 144, 293, 30, 583 is 1
2. Where do I get the detailed procedure to find GCD of 144, 293, 30, 583?
You can find a detailed procedure to find GCD of 144, 293, 30, 583 on our page.
3. How to find GCD of 144, 293, 30, 583 on a calculator?
You can find the GCD of 144, 293, 30, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.