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 869, 825, 33 i.e. 11 largest integer that divides all the numbers equally.
GCD of 869, 825, 33 is 11
GCD(869, 825, 33) = 11
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 825, 33 is 11
GCD(869, 825, 33) = 11
Given Input numbers are 869, 825, 33
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
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 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Greatest Common Divisior
We found the divisors of 869, 825, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 825, 33 is 11.
Therefore, GCD of numbers 869, 825, 33 is 11
Given Input Data is 869, 825, 33
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 33 is 3 x 11
Highest common occurrences in the given inputs are 111
Multiplying them we get the GCD as 11
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(869, 825) = 65175
GCD(869, 825) = ( 869 x 825 ) / 65175
GCD(869, 825) = 716925 / 65175
GCD(869, 825) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 33) = 33
GCD(11, 33) = ( 11 x 33 ) / 33
GCD(11, 33) = 363 / 33
GCD(11, 33) = 11
GCD of 869, 825, 33 is 11
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 869, 825, 33?
GCD of 869, 825, 33 is 11
2. Where do I get the detailed procedure to find GCD of 869, 825, 33?
You can find a detailed procedure to find GCD of 869, 825, 33 on our page.
3. How to find GCD of 869, 825, 33 on a calculator?
You can find the GCD of 869, 825, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.