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, 499, 489, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 499, 489, 188 is 1
GCD(320, 499, 489, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 499, 489, 188 is 1
GCD(320, 499, 489, 188) = 1
Given Input numbers are 320, 499, 489, 188
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 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 320, 499, 489, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 499, 489, 188 is 1.
Therefore, GCD of numbers 320, 499, 489, 188 is 1
Given Input Data is 320, 499, 489, 188
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 499 is 499
Prime Factorization of 489 is 3 x 163
Prime Factorization of 188 is 2 x 2 x 47
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, 499) = 159680
GCD(320, 499) = ( 320 x 499 ) / 159680
GCD(320, 499) = 159680 / 159680
GCD(320, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 320, 499, 489, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 499, 489, 188?
GCD of 320, 499, 489, 188 is 1
2. Where do I get the detailed procedure to find GCD of 320, 499, 489, 188?
You can find a detailed procedure to find GCD of 320, 499, 489, 188 on our page.
3. How to find GCD of 320, 499, 489, 188 on a calculator?
You can find the GCD of 320, 499, 489, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.