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 128, 361, 33, 815 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 361, 33, 815 is 1
GCD(128, 361, 33, 815) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 361, 33, 815 is 1
GCD(128, 361, 33, 815) = 1
Given Input numbers are 128, 361, 33, 815
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Greatest Common Divisior
We found the divisors of 128, 361, 33, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 361, 33, 815 is 1.
Therefore, GCD of numbers 128, 361, 33, 815 is 1
Given Input Data is 128, 361, 33, 815
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 361 is 19 x 19
Prime Factorization of 33 is 3 x 11
Prime Factorization of 815 is 5 x 163
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(128, 361) = 46208
GCD(128, 361) = ( 128 x 361 ) / 46208
GCD(128, 361) = 46208 / 46208
GCD(128, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
GCD of 128, 361, 33, 815 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 361, 33, 815?
GCD of 128, 361, 33, 815 is 1
2. Where do I get the detailed procedure to find GCD of 128, 361, 33, 815?
You can find a detailed procedure to find GCD of 128, 361, 33, 815 on our page.
3. How to find GCD of 128, 361, 33, 815 on a calculator?
You can find the GCD of 128, 361, 33, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.