GCD of 523, 460, 400 Calculator

Given Input numbers are 523, 460, 400

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Greatest Common Divisior

We found the divisors of 523, 460, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 460, 400 is 1.

Therefore, GCD of numbers 523, 460, 400 is 1

Given Input Data is 523, 460, 400

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

Prime Factorization of 523 is 523

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

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(523, 460) = 240580

GCD(523, 460) = ( 523 x 460 ) / 240580

GCD(523, 460) = 240580 / 240580

GCD(523, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 523, 460, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 716, 769
• GCD of 152, 951, 241
• GCD of 449, 344, 387
• GCD of 479, 908, 663
• GCD of 668, 858, 371

1. What is the GCD of 523, 460, 400?

GCD of 523, 460, 400 is 1

2. Where do I get the detailed procedure to find GCD of 523, 460, 400?

You can find a detailed procedure to find GCD of 523, 460, 400 on our page.

3. How to find GCD of 523, 460, 400 on a calculator?

You can find the GCD of 523, 460, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.