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 145, 204, 44, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 204, 44, 399 is 1
GCD(145, 204, 44, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 204, 44, 399 is 1
GCD(145, 204, 44, 399) = 1
Given Input numbers are 145, 204, 44, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 145, 204, 44, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 204, 44, 399 is 1.
Therefore, GCD of numbers 145, 204, 44, 399 is 1
Given Input Data is 145, 204, 44, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 399 is 3 x 7 x 19
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(145, 204) = 29580
GCD(145, 204) = ( 145 x 204 ) / 29580
GCD(145, 204) = 29580 / 29580
GCD(145, 204) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 145, 204, 44, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 204, 44, 399?
GCD of 145, 204, 44, 399 is 1
2. Where do I get the detailed procedure to find GCD of 145, 204, 44, 399?
You can find a detailed procedure to find GCD of 145, 204, 44, 399 on our page.
3. How to find GCD of 145, 204, 44, 399 on a calculator?
You can find the GCD of 145, 204, 44, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.