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 89, 203, 383, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 203, 383, 384 is 1
GCD(89, 203, 383, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 203, 383, 384 is 1
GCD(89, 203, 383, 384) = 1
Given Input numbers are 89, 203, 383, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
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 89, 203, 383, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 203, 383, 384 is 1.
Therefore, GCD of numbers 89, 203, 383, 384 is 1
Given Input Data is 89, 203, 383, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 203 is 7 x 29
Prime Factorization of 383 is 383
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(89, 203) = 18067
GCD(89, 203) = ( 89 x 203 ) / 18067
GCD(89, 203) = 18067 / 18067
GCD(89, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 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 89, 203, 383, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 203, 383, 384?
GCD of 89, 203, 383, 384 is 1
2. Where do I get the detailed procedure to find GCD of 89, 203, 383, 384?
You can find a detailed procedure to find GCD of 89, 203, 383, 384 on our page.
3. How to find GCD of 89, 203, 383, 384 on a calculator?
You can find the GCD of 89, 203, 383, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.