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 178, 299, 96 i.e. 1 largest integer that divides all the numbers equally.
GCD of 178, 299, 96 is 1
GCD(178, 299, 96) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 178, 299, 96 is 1
GCD(178, 299, 96) = 1
Given Input numbers are 178, 299, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
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
Greatest Common Divisior
We found the divisors of 178, 299, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 299, 96 is 1.
Therefore, GCD of numbers 178, 299, 96 is 1
Given Input Data is 178, 299, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 178 is 2 x 89
Prime Factorization of 299 is 13 x 23
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
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(178, 299) = 53222
GCD(178, 299) = ( 178 x 299 ) / 53222
GCD(178, 299) = 53222 / 53222
GCD(178, 299) = 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
GCD of 178, 299, 96 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 178, 299, 96?
GCD of 178, 299, 96 is 1
2. Where do I get the detailed procedure to find GCD of 178, 299, 96?
You can find a detailed procedure to find GCD of 178, 299, 96 on our page.
3. How to find GCD of 178, 299, 96 on a calculator?
You can find the GCD of 178, 299, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.