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 826, 576, 13, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 576, 13, 330 is 1
GCD(826, 576, 13, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 576, 13, 330 is 1
GCD(826, 576, 13, 330) = 1
Given Input numbers are 826, 576, 13, 330
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
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
Greatest Common Divisior
We found the divisors of 826, 576, 13, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 576, 13, 330 is 1.
Therefore, GCD of numbers 826, 576, 13, 330 is 1
Given Input Data is 826, 576, 13, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 13 is 13
Prime Factorization of 330 is 2 x 3 x 5 x 11
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(826, 576) = 237888
GCD(826, 576) = ( 826 x 576 ) / 237888
GCD(826, 576) = 475776 / 237888
GCD(826, 576) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
GCD of 826, 576, 13, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 576, 13, 330?
GCD of 826, 576, 13, 330 is 1
2. Where do I get the detailed procedure to find GCD of 826, 576, 13, 330?
You can find a detailed procedure to find GCD of 826, 576, 13, 330 on our page.
3. How to find GCD of 826, 576, 13, 330 on a calculator?
You can find the GCD of 826, 576, 13, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.