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 384, 551, 30, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 551, 30, 305 is 1
GCD(384, 551, 30, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 551, 30, 305 is 1
GCD(384, 551, 30, 305) = 1
Given Input numbers are 384, 551, 30, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 384, 551, 30, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 551, 30, 305 is 1.
Therefore, GCD of numbers 384, 551, 30, 305 is 1
Given Input Data is 384, 551, 30, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 551 is 19 x 29
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 305 is 5 x 61
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(384, 551) = 211584
GCD(384, 551) = ( 384 x 551 ) / 211584
GCD(384, 551) = 211584 / 211584
GCD(384, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 384, 551, 30, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 551, 30, 305?
GCD of 384, 551, 30, 305 is 1
2. Where do I get the detailed procedure to find GCD of 384, 551, 30, 305?
You can find a detailed procedure to find GCD of 384, 551, 30, 305 on our page.
3. How to find GCD of 384, 551, 30, 305 on a calculator?
You can find the GCD of 384, 551, 30, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.