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 39, 909, 933, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 909, 933, 826 is 1
GCD(39, 909, 933, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 909, 933, 826 is 1
GCD(39, 909, 933, 826) = 1
Given Input numbers are 39, 909, 933, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 39, 909, 933, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 909, 933, 826 is 1.
Therefore, GCD of numbers 39, 909, 933, 826 is 1
Given Input Data is 39, 909, 933, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 933 is 3 x 311
Prime Factorization of 826 is 2 x 7 x 59
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(39, 909) = 11817
GCD(39, 909) = ( 39 x 909 ) / 11817
GCD(39, 909) = 35451 / 11817
GCD(39, 909) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 933) = 933
GCD(3, 933) = ( 3 x 933 ) / 933
GCD(3, 933) = 2799 / 933
GCD(3, 933) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 826) = 2478
GCD(3, 826) = ( 3 x 826 ) / 2478
GCD(3, 826) = 2478 / 2478
GCD(3, 826) = 1
GCD of 39, 909, 933, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 909, 933, 826?
GCD of 39, 909, 933, 826 is 1
2. Where do I get the detailed procedure to find GCD of 39, 909, 933, 826?
You can find a detailed procedure to find GCD of 39, 909, 933, 826 on our page.
3. How to find GCD of 39, 909, 933, 826 on a calculator?
You can find the GCD of 39, 909, 933, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.