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 659, 808, 28, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 808, 28, 238 is 1
GCD(659, 808, 28, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 808, 28, 238 is 1
GCD(659, 808, 28, 238) = 1
Given Input numbers are 659, 808, 28, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 659, 808, 28, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 808, 28, 238 is 1.
Therefore, GCD of numbers 659, 808, 28, 238 is 1
Given Input Data is 659, 808, 28, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 238 is 2 x 7 x 17
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(659, 808) = 532472
GCD(659, 808) = ( 659 x 808 ) / 532472
GCD(659, 808) = 532472 / 532472
GCD(659, 808) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 659, 808, 28, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 808, 28, 238?
GCD of 659, 808, 28, 238 is 1
2. Where do I get the detailed procedure to find GCD of 659, 808, 28, 238?
You can find a detailed procedure to find GCD of 659, 808, 28, 238 on our page.
3. How to find GCD of 659, 808, 28, 238 on a calculator?
You can find the GCD of 659, 808, 28, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.