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 283, 162, 96 i.e. 1 largest integer that divides all the numbers equally.
GCD of 283, 162, 96 is 1
GCD(283, 162, 96) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 283, 162, 96 is 1
GCD(283, 162, 96) = 1
Given Input numbers are 283, 162, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
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 283, 162, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 162, 96 is 1.
Therefore, GCD of numbers 283, 162, 96 is 1
Given Input Data is 283, 162, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 283 is 283
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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(283, 162) = 45846
GCD(283, 162) = ( 283 x 162 ) / 45846
GCD(283, 162) = 45846 / 45846
GCD(283, 162) = 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 283, 162, 96 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 283, 162, 96?
GCD of 283, 162, 96 is 1
2. Where do I get the detailed procedure to find GCD of 283, 162, 96?
You can find a detailed procedure to find GCD of 283, 162, 96 on our page.
3. How to find GCD of 283, 162, 96 on a calculator?
You can find the GCD of 283, 162, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.