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 81, 890, 105, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 890, 105, 384 is 1
GCD(81, 890, 105, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 890, 105, 384 is 1
GCD(81, 890, 105, 384) = 1
Given Input numbers are 81, 890, 105, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 81, 890, 105, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 890, 105, 384 is 1.
Therefore, GCD of numbers 81, 890, 105, 384 is 1
Given Input Data is 81, 890, 105, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(81, 890) = 72090
GCD(81, 890) = ( 81 x 890 ) / 72090
GCD(81, 890) = 72090 / 72090
GCD(81, 890) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 81, 890, 105, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 890, 105, 384?
GCD of 81, 890, 105, 384 is 1
2. Where do I get the detailed procedure to find GCD of 81, 890, 105, 384?
You can find a detailed procedure to find GCD of 81, 890, 105, 384 on our page.
3. How to find GCD of 81, 890, 105, 384 on a calculator?
You can find the GCD of 81, 890, 105, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.