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 381, 468, 208, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 468, 208, 392 is 1
GCD(381, 468, 208, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 468, 208, 392 is 1
GCD(381, 468, 208, 392) = 1
Given Input numbers are 381, 468, 208, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 381, 468, 208, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 468, 208, 392 is 1.
Therefore, GCD of numbers 381, 468, 208, 392 is 1
Given Input Data is 381, 468, 208, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(381, 468) = 59436
GCD(381, 468) = ( 381 x 468 ) / 59436
GCD(381, 468) = 178308 / 59436
GCD(381, 468) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 208) = 624
GCD(3, 208) = ( 3 x 208 ) / 624
GCD(3, 208) = 624 / 624
GCD(3, 208) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 381, 468, 208, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 468, 208, 392?
GCD of 381, 468, 208, 392 is 1
2. Where do I get the detailed procedure to find GCD of 381, 468, 208, 392?
You can find a detailed procedure to find GCD of 381, 468, 208, 392 on our page.
3. How to find GCD of 381, 468, 208, 392 on a calculator?
You can find the GCD of 381, 468, 208, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.