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 387, 363, 41, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 363, 41, 412 is 1
GCD(387, 363, 41, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 363, 41, 412 is 1
GCD(387, 363, 41, 412) = 1
Given Input numbers are 387, 363, 41, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 387, 363, 41, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 363, 41, 412 is 1.
Therefore, GCD of numbers 387, 363, 41, 412 is 1
Given Input Data is 387, 363, 41, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 41 is 41
Prime Factorization of 412 is 2 x 2 x 103
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(387, 363) = 46827
GCD(387, 363) = ( 387 x 363 ) / 46827
GCD(387, 363) = 140481 / 46827
GCD(387, 363) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 41) = 123
GCD(3, 41) = ( 3 x 41 ) / 123
GCD(3, 41) = 123 / 123
GCD(3, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 387, 363, 41, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 363, 41, 412?
GCD of 387, 363, 41, 412 is 1
2. Where do I get the detailed procedure to find GCD of 387, 363, 41, 412?
You can find a detailed procedure to find GCD of 387, 363, 41, 412 on our page.
3. How to find GCD of 387, 363, 41, 412 on a calculator?
You can find the GCD of 387, 363, 41, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.