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 304, 855, 77, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 855, 77, 353 is 1
GCD(304, 855, 77, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 855, 77, 353 is 1
GCD(304, 855, 77, 353) = 1
Given Input numbers are 304, 855, 77, 353
To find the GCD of numbers using factoring list out all the divisors of each number
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 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 304, 855, 77, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 855, 77, 353 is 1.
Therefore, GCD of numbers 304, 855, 77, 353 is 1
Given Input Data is 304, 855, 77, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 77 is 7 x 11
Prime Factorization of 353 is 353
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(304, 855) = 13680
GCD(304, 855) = ( 304 x 855 ) / 13680
GCD(304, 855) = 259920 / 13680
GCD(304, 855) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 77) = 1463
GCD(19, 77) = ( 19 x 77 ) / 1463
GCD(19, 77) = 1463 / 1463
GCD(19, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 304, 855, 77, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 855, 77, 353?
GCD of 304, 855, 77, 353 is 1
2. Where do I get the detailed procedure to find GCD of 304, 855, 77, 353?
You can find a detailed procedure to find GCD of 304, 855, 77, 353 on our page.
3. How to find GCD of 304, 855, 77, 353 on a calculator?
You can find the GCD of 304, 855, 77, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.