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 825, 384, 933, 290 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 384, 933, 290 is 1
GCD(825, 384, 933, 290) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 384, 933, 290 is 1
GCD(825, 384, 933, 290) = 1
Given Input numbers are 825, 384, 933, 290
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 825, 384, 933, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 384, 933, 290 is 1.
Therefore, GCD of numbers 825, 384, 933, 290 is 1
Given Input Data is 825, 384, 933, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 933 is 3 x 311
Prime Factorization of 290 is 2 x 5 x 29
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(825, 384) = 105600
GCD(825, 384) = ( 825 x 384 ) / 105600
GCD(825, 384) = 316800 / 105600
GCD(825, 384) = 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 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 290) = 870
GCD(3, 290) = ( 3 x 290 ) / 870
GCD(3, 290) = 870 / 870
GCD(3, 290) = 1
GCD of 825, 384, 933, 290 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 384, 933, 290?
GCD of 825, 384, 933, 290 is 1
2. Where do I get the detailed procedure to find GCD of 825, 384, 933, 290?
You can find a detailed procedure to find GCD of 825, 384, 933, 290 on our page.
3. How to find GCD of 825, 384, 933, 290 on a calculator?
You can find the GCD of 825, 384, 933, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.