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 440, 297, 25, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 297, 25, 326 is 1
GCD(440, 297, 25, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 297, 25, 326 is 1
GCD(440, 297, 25, 326) = 1
Given Input numbers are 440, 297, 25, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 440, 297, 25, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 297, 25, 326 is 1.
Therefore, GCD of numbers 440, 297, 25, 326 is 1
Given Input Data is 440, 297, 25, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 25 is 5 x 5
Prime Factorization of 326 is 2 x 163
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(440, 297) = 11880
GCD(440, 297) = ( 440 x 297 ) / 11880
GCD(440, 297) = 130680 / 11880
GCD(440, 297) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 25) = 275
GCD(11, 25) = ( 11 x 25 ) / 275
GCD(11, 25) = 275 / 275
GCD(11, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 440, 297, 25, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 297, 25, 326?
GCD of 440, 297, 25, 326 is 1
2. Where do I get the detailed procedure to find GCD of 440, 297, 25, 326?
You can find a detailed procedure to find GCD of 440, 297, 25, 326 on our page.
3. How to find GCD of 440, 297, 25, 326 on a calculator?
You can find the GCD of 440, 297, 25, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.