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 320, 512, 32, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 512, 32, 389 is 1
GCD(320, 512, 32, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 512, 32, 389 is 1
GCD(320, 512, 32, 389) = 1
Given Input numbers are 320, 512, 32, 389
To find the GCD of numbers using factoring list out all the divisors of each number
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 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 320, 512, 32, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 512, 32, 389 is 1.
Therefore, GCD of numbers 320, 512, 32, 389 is 1
Given Input Data is 320, 512, 32, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 389 is 389
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(320, 512) = 2560
GCD(320, 512) = ( 320 x 512 ) / 2560
GCD(320, 512) = 163840 / 2560
GCD(320, 512) = 64
Step2:
Here we consider the GCD from the above i.e. 64 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(64, 32) = 64
GCD(64, 32) = ( 64 x 32 ) / 64
GCD(64, 32) = 2048 / 64
GCD(64, 32) = 32
Step3:
Here we consider the GCD from the above i.e. 32 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(32, 389) = 12448
GCD(32, 389) = ( 32 x 389 ) / 12448
GCD(32, 389) = 12448 / 12448
GCD(32, 389) = 1
GCD of 320, 512, 32, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 512, 32, 389?
GCD of 320, 512, 32, 389 is 1
2. Where do I get the detailed procedure to find GCD of 320, 512, 32, 389?
You can find a detailed procedure to find GCD of 320, 512, 32, 389 on our page.
3. How to find GCD of 320, 512, 32, 389 on a calculator?
You can find the GCD of 320, 512, 32, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.