GCD of 468, 828, 901 Calculator

Given Input numbers are 468, 828, 901

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 468, 828, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 828, 901 is 1.

Therefore, GCD of numbers 468, 828, 901 is 1

Given Input Data is 468, 828, 901

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 901 is 17 x 53

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(468, 828) = 10764

GCD(468, 828) = ( 468 x 828 ) / 10764

GCD(468, 828) = 387504 / 10764

GCD(468, 828) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 901

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

LCM(36, 901) = 32436

GCD(36, 901) = ( 36 x 901 ) / 32436

GCD(36, 901) = 32436 / 32436

GCD(36, 901) = 1

GCD of 468, 828, 901 is 1

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1. What is the GCD of 468, 828, 901?

GCD of 468, 828, 901 is 1

2. Where do I get the detailed procedure to find GCD of 468, 828, 901?

You can find a detailed procedure to find GCD of 468, 828, 901 on our page.

3. How to find GCD of 468, 828, 901 on a calculator?

You can find the GCD of 468, 828, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.