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 925, 192, 96 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 192, 96 is 1
GCD(925, 192, 96) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 192, 96 is 1
GCD(925, 192, 96) = 1
Given Input numbers are 925, 192, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
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 925, 192, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 192, 96 is 1.
Therefore, GCD of numbers 925, 192, 96 is 1
Given Input Data is 925, 192, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 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(925, 192) = 177600
GCD(925, 192) = ( 925 x 192 ) / 177600
GCD(925, 192) = 177600 / 177600
GCD(925, 192) = 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 925, 192, 96 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 192, 96?
GCD of 925, 192, 96 is 1
2. Where do I get the detailed procedure to find GCD of 925, 192, 96?
You can find a detailed procedure to find GCD of 925, 192, 96 on our page.
3. How to find GCD of 925, 192, 96 on a calculator?
You can find the GCD of 925, 192, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.