GCD of 428, 400, 825 Calculator

Given Input numbers are 428, 400, 825

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 428, 400, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 400, 825 is 1.

Therefore, GCD of numbers 428, 400, 825 is 1

Given Input Data is 428, 400, 825

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(428, 400) = 42800

GCD(428, 400) = ( 428 x 400 ) / 42800

GCD(428, 400) = 171200 / 42800

GCD(428, 400) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 825

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

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

GCD(4, 825) = 3300 / 3300

GCD(4, 825) = 1

GCD of 428, 400, 825 is 1

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1. What is the GCD of 428, 400, 825?

GCD of 428, 400, 825 is 1

2. Where do I get the detailed procedure to find GCD of 428, 400, 825?

You can find a detailed procedure to find GCD of 428, 400, 825 on our page.

3. How to find GCD of 428, 400, 825 on a calculator?

You can find the GCD of 428, 400, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.