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, 234, 738, 915 i.e. 3 largest integer that divides all the numbers equally.
GCD of 825, 234, 738, 915 is 3
GCD(825, 234, 738, 915) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 234, 738, 915 is 3
GCD(825, 234, 738, 915) = 3
Given Input numbers are 825, 234, 738, 915
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 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 825, 234, 738, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 234, 738, 915 is 3.
Therefore, GCD of numbers 825, 234, 738, 915 is 3
Given Input Data is 825, 234, 738, 915
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 234 is 2 x 3 x 3 x 13
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 915 is 3 x 5 x 61
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 234) = 64350
GCD(825, 234) = ( 825 x 234 ) / 64350
GCD(825, 234) = 193050 / 64350
GCD(825, 234) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 738) = 738
GCD(3, 738) = ( 3 x 738 ) / 738
GCD(3, 738) = 2214 / 738
GCD(3, 738) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 915) = 915
GCD(3, 915) = ( 3 x 915 ) / 915
GCD(3, 915) = 2745 / 915
GCD(3, 915) = 3
GCD of 825, 234, 738, 915 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 234, 738, 915?
GCD of 825, 234, 738, 915 is 3
2. Where do I get the detailed procedure to find GCD of 825, 234, 738, 915?
You can find a detailed procedure to find GCD of 825, 234, 738, 915 on our page.
3. How to find GCD of 825, 234, 738, 915 on a calculator?
You can find the GCD of 825, 234, 738, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.