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, 926, 523, 306 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 926, 523, 306 is 1
GCD(384, 926, 523, 306) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 926, 523, 306 is 1
GCD(384, 926, 523, 306) = 1
Given Input numbers are 384, 926, 523, 306
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 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 384, 926, 523, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 926, 523, 306 is 1.
Therefore, GCD of numbers 384, 926, 523, 306 is 1
Given Input Data is 384, 926, 523, 306
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 926 is 2 x 463
Prime Factorization of 523 is 523
Prime Factorization of 306 is 2 x 3 x 3 x 17
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, 926) = 177792
GCD(384, 926) = ( 384 x 926 ) / 177792
GCD(384, 926) = 355584 / 177792
GCD(384, 926) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 523) = 1046
GCD(2, 523) = ( 2 x 523 ) / 1046
GCD(2, 523) = 1046 / 1046
GCD(2, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
GCD of 384, 926, 523, 306 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 926, 523, 306?
GCD of 384, 926, 523, 306 is 1
2. Where do I get the detailed procedure to find GCD of 384, 926, 523, 306?
You can find a detailed procedure to find GCD of 384, 926, 523, 306 on our page.
3. How to find GCD of 384, 926, 523, 306 on a calculator?
You can find the GCD of 384, 926, 523, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.