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 326, 192, 18, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 326, 192, 18, 925 is 1
GCD(326, 192, 18, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 192, 18, 925 is 1
GCD(326, 192, 18, 925) = 1
Given Input numbers are 326, 192, 18, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
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 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 326, 192, 18, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 192, 18, 925 is 1.
Therefore, GCD of numbers 326, 192, 18, 925 is 1
Given Input Data is 326, 192, 18, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 925 is 5 x 5 x 37
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(326, 192) = 31296
GCD(326, 192) = ( 326 x 192 ) / 31296
GCD(326, 192) = 62592 / 31296
GCD(326, 192) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
GCD(2, 925) = 1850 / 1850
GCD(2, 925) = 1
GCD of 326, 192, 18, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 192, 18, 925?
GCD of 326, 192, 18, 925 is 1
2. Where do I get the detailed procedure to find GCD of 326, 192, 18, 925?
You can find a detailed procedure to find GCD of 326, 192, 18, 925 on our page.
3. How to find GCD of 326, 192, 18, 925 on a calculator?
You can find the GCD of 326, 192, 18, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.