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 893, 321, 20, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 893, 321, 20, 384 is 1
GCD(893, 321, 20, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 893, 321, 20, 384 is 1
GCD(893, 321, 20, 384) = 1
Given Input numbers are 893, 321, 20, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
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 893, 321, 20, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 321, 20, 384 is 1.
Therefore, GCD of numbers 893, 321, 20, 384 is 1
Given Input Data is 893, 321, 20, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 893 is 19 x 47
Prime Factorization of 321 is 3 x 107
Prime Factorization of 20 is 2 x 2 x 5
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(893, 321) = 286653
GCD(893, 321) = ( 893 x 321 ) / 286653
GCD(893, 321) = 286653 / 286653
GCD(893, 321) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 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 893, 321, 20, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 893, 321, 20, 384?
GCD of 893, 321, 20, 384 is 1
2. Where do I get the detailed procedure to find GCD of 893, 321, 20, 384?
You can find a detailed procedure to find GCD of 893, 321, 20, 384 on our page.
3. How to find GCD of 893, 321, 20, 384 on a calculator?
You can find the GCD of 893, 321, 20, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.