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 404, 135, 128, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 135, 128, 180 is 1
GCD(404, 135, 128, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 135, 128, 180 is 1
GCD(404, 135, 128, 180) = 1
Given Input numbers are 404, 135, 128, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
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 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 404, 135, 128, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 135, 128, 180 is 1.
Therefore, GCD of numbers 404, 135, 128, 180 is 1
Given Input Data is 404, 135, 128, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(404, 135) = 54540
GCD(404, 135) = ( 404 x 135 ) / 54540
GCD(404, 135) = 54540 / 54540
GCD(404, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 404, 135, 128, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 135, 128, 180?
GCD of 404, 135, 128, 180 is 1
2. Where do I get the detailed procedure to find GCD of 404, 135, 128, 180?
You can find a detailed procedure to find GCD of 404, 135, 128, 180 on our page.
3. How to find GCD of 404, 135, 128, 180 on a calculator?
You can find the GCD of 404, 135, 128, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.