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, 238, 20, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 238, 20, 237 is 1
GCD(128, 238, 20, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 238, 20, 237 is 1
GCD(128, 238, 20, 237) = 1
Given Input numbers are 128, 238, 20, 237
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 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Greatest Common Divisior
We found the divisors of 128, 238, 20, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 238, 20, 237 is 1.
Therefore, GCD of numbers 128, 238, 20, 237 is 1
Given Input Data is 128, 238, 20, 237
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 238 is 2 x 7 x 17
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 237 is 3 x 79
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, 238) = 15232
GCD(128, 238) = ( 128 x 238 ) / 15232
GCD(128, 238) = 30464 / 15232
GCD(128, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 237) = 474
GCD(2, 237) = ( 2 x 237 ) / 474
GCD(2, 237) = 474 / 474
GCD(2, 237) = 1
GCD of 128, 238, 20, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 238, 20, 237?
GCD of 128, 238, 20, 237 is 1
2. Where do I get the detailed procedure to find GCD of 128, 238, 20, 237?
You can find a detailed procedure to find GCD of 128, 238, 20, 237 on our page.
3. How to find GCD of 128, 238, 20, 237 on a calculator?
You can find the GCD of 128, 238, 20, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.