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 363, 583, 38, 622 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 583, 38, 622 is 1
GCD(363, 583, 38, 622) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 583, 38, 622 is 1
GCD(363, 583, 38, 622) = 1
Given Input numbers are 363, 583, 38, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 363, 583, 38, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 583, 38, 622 is 1.
Therefore, GCD of numbers 363, 583, 38, 622 is 1
Given Input Data is 363, 583, 38, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 583 is 11 x 53
Prime Factorization of 38 is 2 x 19
Prime Factorization of 622 is 2 x 311
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(363, 583) = 19239
GCD(363, 583) = ( 363 x 583 ) / 19239
GCD(363, 583) = 211629 / 19239
GCD(363, 583) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 38) = 418
GCD(11, 38) = ( 11 x 38 ) / 418
GCD(11, 38) = 418 / 418
GCD(11, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 622) = 622
GCD(1, 622) = ( 1 x 622 ) / 622
GCD(1, 622) = 622 / 622
GCD(1, 622) = 1
GCD of 363, 583, 38, 622 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 583, 38, 622?
GCD of 363, 583, 38, 622 is 1
2. Where do I get the detailed procedure to find GCD of 363, 583, 38, 622?
You can find a detailed procedure to find GCD of 363, 583, 38, 622 on our page.
3. How to find GCD of 363, 583, 38, 622 on a calculator?
You can find the GCD of 363, 583, 38, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.