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, 107, 320, 478 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 107, 320, 478 is 1
GCD(384, 107, 320, 478) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 107, 320, 478 is 1
GCD(384, 107, 320, 478) = 1
Given Input numbers are 384, 107, 320, 478
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 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Greatest Common Divisior
We found the divisors of 384, 107, 320, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 107, 320, 478 is 1.
Therefore, GCD of numbers 384, 107, 320, 478 is 1
Given Input Data is 384, 107, 320, 478
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 107 is 107
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 478 is 2 x 239
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, 107) = 41088
GCD(384, 107) = ( 384 x 107 ) / 41088
GCD(384, 107) = 41088 / 41088
GCD(384, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
GCD of 384, 107, 320, 478 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 107, 320, 478?
GCD of 384, 107, 320, 478 is 1
2. Where do I get the detailed procedure to find GCD of 384, 107, 320, 478?
You can find a detailed procedure to find GCD of 384, 107, 320, 478 on our page.
3. How to find GCD of 384, 107, 320, 478 on a calculator?
You can find the GCD of 384, 107, 320, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.