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 288, 689, 96, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 288, 689, 96, 383 is 1
GCD(288, 689, 96, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 288, 689, 96, 383 is 1
GCD(288, 689, 96, 383) = 1
Given Input numbers are 288, 689, 96, 383
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 288, 689, 96, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 689, 96, 383 is 1.
Therefore, GCD of numbers 288, 689, 96, 383 is 1
Given Input Data is 288, 689, 96, 383
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 689 is 13 x 53
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 383 is 383
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(288, 689) = 198432
GCD(288, 689) = ( 288 x 689 ) / 198432
GCD(288, 689) = 198432 / 198432
GCD(288, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 288, 689, 96, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 288, 689, 96, 383?
GCD of 288, 689, 96, 383 is 1
2. Where do I get the detailed procedure to find GCD of 288, 689, 96, 383?
You can find a detailed procedure to find GCD of 288, 689, 96, 383 on our page.
3. How to find GCD of 288, 689, 96, 383 on a calculator?
You can find the GCD of 288, 689, 96, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.