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, 912, 181, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 912, 181, 346 is 1
GCD(384, 912, 181, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 912, 181, 346 is 1
GCD(384, 912, 181, 346) = 1
Given Input numbers are 384, 912, 181, 346
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 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 384, 912, 181, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 912, 181, 346 is 1.
Therefore, GCD of numbers 384, 912, 181, 346 is 1
Given Input Data is 384, 912, 181, 346
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 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 181 is 181
Prime Factorization of 346 is 2 x 173
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, 912) = 7296
GCD(384, 912) = ( 384 x 912 ) / 7296
GCD(384, 912) = 350208 / 7296
GCD(384, 912) = 48
Step2:
Here we consider the GCD from the above i.e. 48 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(48, 181) = 8688
GCD(48, 181) = ( 48 x 181 ) / 8688
GCD(48, 181) = 8688 / 8688
GCD(48, 181) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 384, 912, 181, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 912, 181, 346?
GCD of 384, 912, 181, 346 is 1
2. Where do I get the detailed procedure to find GCD of 384, 912, 181, 346?
You can find a detailed procedure to find GCD of 384, 912, 181, 346 on our page.
3. How to find GCD of 384, 912, 181, 346 on a calculator?
You can find the GCD of 384, 912, 181, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.