GCD of 885, 450, 825 Calculator

Given Input numbers are 885, 450, 825

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

Greatest Common Divisior

We found the divisors of 885, 450, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 450, 825 is 15.

Therefore, GCD of numbers 885, 450, 825 is 15

Given Input Data is 885, 450, 825

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 825 is 3 x 5 x 5 x 11

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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(885, 450) = 26550

GCD(885, 450) = ( 885 x 450 ) / 26550

GCD(885, 450) = 398250 / 26550

GCD(885, 450) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 825

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(15, 825) = 825

GCD(15, 825) = ( 15 x 825 ) / 825

GCD(15, 825) = 12375 / 825

GCD(15, 825) = 15

GCD of 885, 450, 825 is 15

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1. What is the GCD of 885, 450, 825?

GCD of 885, 450, 825 is 15

2. Where do I get the detailed procedure to find GCD of 885, 450, 825?

You can find a detailed procedure to find GCD of 885, 450, 825 on our page.

3. How to find GCD of 885, 450, 825 on a calculator?

You can find the GCD of 885, 450, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.