GCD of 108, 815, 404, 825 Calculator

Given Input numbers are 108, 815, 404, 825

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

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 108, 815, 404, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 815, 404, 825 is 1.

Therefore, GCD of numbers 108, 815, 404, 825 is 1

Given Input Data is 108, 815, 404, 825

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 815 is 5 x 163

Prime Factorization of 404 is 2 x 2 x 101

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

The above numbers do not have any common prime factor. So GCD is 1

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(108, 815) = 88020

GCD(108, 815) = ( 108 x 815 ) / 88020

GCD(108, 815) = 88020 / 88020

GCD(108, 815) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 108, 815, 404, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 170, 425, 295
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• GCD of 345, 464, 866, 120
• GCD of 546, 676, 693, 750
• GCD of 163, 121, 472, 499

1. What is the GCD of 108, 815, 404, 825?

GCD of 108, 815, 404, 825 is 1

2. Where do I get the detailed procedure to find GCD of 108, 815, 404, 825?

You can find a detailed procedure to find GCD of 108, 815, 404, 825 on our page.

3. How to find GCD of 108, 815, 404, 825 on a calculator?

You can find the GCD of 108, 815, 404, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.