GCD of 225, 825, 525, 665 Calculator

Given Input numbers are 225, 825, 525, 665

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 225, 825, 525, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 825, 525, 665 is 5.

Therefore, GCD of numbers 225, 825, 525, 665 is 5

Given Input Data is 225, 825, 525, 665

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 665 is 5 x 7 x 19

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(225, 825) = 2475

GCD(225, 825) = ( 225 x 825 ) / 2475

GCD(225, 825) = 185625 / 2475

GCD(225, 825) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 525

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

LCM(75, 525) = 525

GCD(75, 525) = ( 75 x 525 ) / 525

GCD(75, 525) = 39375 / 525

GCD(75, 525) = 75

Step3:

Here we consider the GCD from the above i.e. 75 as first number and the next as 665

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

LCM(75, 665) = 9975

GCD(75, 665) = ( 75 x 665 ) / 9975

GCD(75, 665) = 49875 / 9975

GCD(75, 665) = 5

GCD of 225, 825, 525, 665 is 5

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1. What is the GCD of 225, 825, 525, 665?

GCD of 225, 825, 525, 665 is 5

2. Where do I get the detailed procedure to find GCD of 225, 825, 525, 665?

You can find a detailed procedure to find GCD of 225, 825, 525, 665 on our page.

3. How to find GCD of 225, 825, 525, 665 on a calculator?

You can find the GCD of 225, 825, 525, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.