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, 243, 415, 246 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 243, 415, 246 is 1
GCD(38, 243, 415, 246) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 243, 415, 246 is 1
GCD(38, 243, 415, 246) = 1
Given Input numbers are 38, 243, 415, 246
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 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Greatest Common Divisior
We found the divisors of 38, 243, 415, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 243, 415, 246 is 1.
Therefore, GCD of numbers 38, 243, 415, 246 is 1
Given Input Data is 38, 243, 415, 246
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 415 is 5 x 83
Prime Factorization of 246 is 2 x 3 x 41
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, 243) = 9234
GCD(38, 243) = ( 38 x 243 ) / 9234
GCD(38, 243) = 9234 / 9234
GCD(38, 243) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 415
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 415) = 415
GCD(1, 415) = ( 1 x 415 ) / 415
GCD(1, 415) = 415 / 415
GCD(1, 415) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 246) = 246
GCD(1, 246) = ( 1 x 246 ) / 246
GCD(1, 246) = 246 / 246
GCD(1, 246) = 1
GCD of 38, 243, 415, 246 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 243, 415, 246?
GCD of 38, 243, 415, 246 is 1
2. Where do I get the detailed procedure to find GCD of 38, 243, 415, 246?
You can find a detailed procedure to find GCD of 38, 243, 415, 246 on our page.
3. How to find GCD of 38, 243, 415, 246 on a calculator?
You can find the GCD of 38, 243, 415, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.