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 592, 241, 54, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 592, 241, 54, 145 is 1
GCD(592, 241, 54, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 592, 241, 54, 145 is 1
GCD(592, 241, 54, 145) = 1
Given Input numbers are 592, 241, 54, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 592, 241, 54, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 241, 54, 145 is 1.
Therefore, GCD of numbers 592, 241, 54, 145 is 1
Given Input Data is 592, 241, 54, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 241 is 241
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 145 is 5 x 29
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(592, 241) = 142672
GCD(592, 241) = ( 592 x 241 ) / 142672
GCD(592, 241) = 142672 / 142672
GCD(592, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 592, 241, 54, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 592, 241, 54, 145?
GCD of 592, 241, 54, 145 is 1
2. Where do I get the detailed procedure to find GCD of 592, 241, 54, 145?
You can find a detailed procedure to find GCD of 592, 241, 54, 145 on our page.
3. How to find GCD of 592, 241, 54, 145 on a calculator?
You can find the GCD of 592, 241, 54, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.