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 380, 449, 214, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 449, 214, 855 is 1
GCD(380, 449, 214, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 449, 214, 855 is 1
GCD(380, 449, 214, 855) = 1
Given Input numbers are 380, 449, 214, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 380, 449, 214, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 449, 214, 855 is 1.
Therefore, GCD of numbers 380, 449, 214, 855 is 1
Given Input Data is 380, 449, 214, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 449 is 449
Prime Factorization of 214 is 2 x 107
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(380, 449) = 170620
GCD(380, 449) = ( 380 x 449 ) / 170620
GCD(380, 449) = 170620 / 170620
GCD(380, 449) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 380, 449, 214, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 449, 214, 855?
GCD of 380, 449, 214, 855 is 1
2. Where do I get the detailed procedure to find GCD of 380, 449, 214, 855?
You can find a detailed procedure to find GCD of 380, 449, 214, 855 on our page.
3. How to find GCD of 380, 449, 214, 855 on a calculator?
You can find the GCD of 380, 449, 214, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.