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 449, 890, 21, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 449, 890, 21, 388 is 1
GCD(449, 890, 21, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 449, 890, 21, 388 is 1
GCD(449, 890, 21, 388) = 1
Given Input numbers are 449, 890, 21, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 449, 890, 21, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 890, 21, 388 is 1.
Therefore, GCD of numbers 449, 890, 21, 388 is 1
Given Input Data is 449, 890, 21, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 449 is 449
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 21 is 3 x 7
Prime Factorization of 388 is 2 x 2 x 97
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(449, 890) = 399610
GCD(449, 890) = ( 449 x 890 ) / 399610
GCD(449, 890) = 399610 / 399610
GCD(449, 890) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 449, 890, 21, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 449, 890, 21, 388?
GCD of 449, 890, 21, 388 is 1
2. Where do I get the detailed procedure to find GCD of 449, 890, 21, 388?
You can find a detailed procedure to find GCD of 449, 890, 21, 388 on our page.
3. How to find GCD of 449, 890, 21, 388 on a calculator?
You can find the GCD of 449, 890, 21, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.