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, 234, 128, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 234, 128, 849 is 1
GCD(128, 234, 128, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 234, 128, 849 is 1
GCD(128, 234, 128, 849) = 1
Given Input numbers are 128, 234, 128, 849
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 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 128, 234, 128, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 234, 128, 849 is 1.
Therefore, GCD of numbers 128, 234, 128, 849 is 1
Given Input Data is 128, 234, 128, 849
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 234 is 2 x 3 x 3 x 13
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 849 is 3 x 283
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, 234) = 14976
GCD(128, 234) = ( 128 x 234 ) / 14976
GCD(128, 234) = 29952 / 14976
GCD(128, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 128) = 128
GCD(2, 128) = ( 2 x 128 ) / 128
GCD(2, 128) = 256 / 128
GCD(2, 128) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 849) = 1698
GCD(2, 849) = ( 2 x 849 ) / 1698
GCD(2, 849) = 1698 / 1698
GCD(2, 849) = 1
GCD of 128, 234, 128, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 234, 128, 849?
GCD of 128, 234, 128, 849 is 1
2. Where do I get the detailed procedure to find GCD of 128, 234, 128, 849?
You can find a detailed procedure to find GCD of 128, 234, 128, 849 on our page.
3. How to find GCD of 128, 234, 128, 849 on a calculator?
You can find the GCD of 128, 234, 128, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.