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 182, 960, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 182, 960, 923 is 1
GCD(182, 960, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 960, 923 is 1
GCD(182, 960, 923) = 1
Given Input numbers are 182, 960, 923
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 182, 960, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 960, 923 is 1.
Therefore, GCD of numbers 182, 960, 923 is 1
Given Input Data is 182, 960, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 923 is 13 x 71
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(182, 960) = 87360
GCD(182, 960) = ( 182 x 960 ) / 87360
GCD(182, 960) = 174720 / 87360
GCD(182, 960) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 923) = 1846
GCD(2, 923) = ( 2 x 923 ) / 1846
GCD(2, 923) = 1846 / 1846
GCD(2, 923) = 1
GCD of 182, 960, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 960, 923?
GCD of 182, 960, 923 is 1
2. Where do I get the detailed procedure to find GCD of 182, 960, 923?
You can find a detailed procedure to find GCD of 182, 960, 923 on our page.
3. How to find GCD of 182, 960, 923 on a calculator?
You can find the GCD of 182, 960, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.