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 199, 304, 385, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 199, 304, 385, 688 is 1
GCD(199, 304, 385, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 199, 304, 385, 688 is 1
GCD(199, 304, 385, 688) = 1
Given Input numbers are 199, 304, 385, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 199, 304, 385, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 304, 385, 688 is 1.
Therefore, GCD of numbers 199, 304, 385, 688 is 1
Given Input Data is 199, 304, 385, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 199 is 199
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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(199, 304) = 60496
GCD(199, 304) = ( 199 x 304 ) / 60496
GCD(199, 304) = 60496 / 60496
GCD(199, 304) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
GCD of 199, 304, 385, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 199, 304, 385, 688?
GCD of 199, 304, 385, 688 is 1
2. Where do I get the detailed procedure to find GCD of 199, 304, 385, 688?
You can find a detailed procedure to find GCD of 199, 304, 385, 688 on our page.
3. How to find GCD of 199, 304, 385, 688 on a calculator?
You can find the GCD of 199, 304, 385, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.