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 330, 525, 26, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 525, 26, 323 is 1
GCD(330, 525, 26, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 525, 26, 323 is 1
GCD(330, 525, 26, 323) = 1
Given Input numbers are 330, 525, 26, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 330, 525, 26, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 525, 26, 323 is 1.
Therefore, GCD of numbers 330, 525, 26, 323 is 1
Given Input Data is 330, 525, 26, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 26 is 2 x 13
Prime Factorization of 323 is 17 x 19
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(330, 525) = 11550
GCD(330, 525) = ( 330 x 525 ) / 11550
GCD(330, 525) = 173250 / 11550
GCD(330, 525) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 26) = 390
GCD(15, 26) = ( 15 x 26 ) / 390
GCD(15, 26) = 390 / 390
GCD(15, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 330, 525, 26, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 525, 26, 323?
GCD of 330, 525, 26, 323 is 1
2. Where do I get the detailed procedure to find GCD of 330, 525, 26, 323?
You can find a detailed procedure to find GCD of 330, 525, 26, 323 on our page.
3. How to find GCD of 330, 525, 26, 323 on a calculator?
You can find the GCD of 330, 525, 26, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.