GCD of 825, 234, 738, 915 Calculator

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

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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.