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 38, 463, 605, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 463, 605, 617 is 1
GCD(38, 463, 605, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 463, 605, 617 is 1
GCD(38, 463, 605, 617) = 1
Given Input numbers are 38, 463, 605, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 38, 463, 605, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 463, 605, 617 is 1.
Therefore, GCD of numbers 38, 463, 605, 617 is 1
Given Input Data is 38, 463, 605, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 463 is 463
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 617 is 617
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(38, 463) = 17594
GCD(38, 463) = ( 38 x 463 ) / 17594
GCD(38, 463) = 17594 / 17594
GCD(38, 463) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 38, 463, 605, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 463, 605, 617?
GCD of 38, 463, 605, 617 is 1
2. Where do I get the detailed procedure to find GCD of 38, 463, 605, 617?
You can find a detailed procedure to find GCD of 38, 463, 605, 617 on our page.
3. How to find GCD of 38, 463, 605, 617 on a calculator?
You can find the GCD of 38, 463, 605, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.