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 818, 304, 16, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 818, 304, 16, 149 is 1
GCD(818, 304, 16, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 818, 304, 16, 149 is 1
GCD(818, 304, 16, 149) = 1
Given Input numbers are 818, 304, 16, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
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 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 818, 304, 16, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 304, 16, 149 is 1.
Therefore, GCD of numbers 818, 304, 16, 149 is 1
Given Input Data is 818, 304, 16, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 818 is 2 x 409
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 149 is 149
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(818, 304) = 124336
GCD(818, 304) = ( 818 x 304 ) / 124336
GCD(818, 304) = 248672 / 124336
GCD(818, 304) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
GCD(2, 149) = 298 / 298
GCD(2, 149) = 1
GCD of 818, 304, 16, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 818, 304, 16, 149?
GCD of 818, 304, 16, 149 is 1
2. Where do I get the detailed procedure to find GCD of 818, 304, 16, 149?
You can find a detailed procedure to find GCD of 818, 304, 16, 149 on our page.
3. How to find GCD of 818, 304, 16, 149 on a calculator?
You can find the GCD of 818, 304, 16, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.