GCD of 97, 531, 404, 456 Calculator

Given Input numbers are 97, 531, 404, 456

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 404

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

1, 2, 4, 101, 202, 404

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 97, 531, 404, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 531, 404, 456 is 1.

Therefore, GCD of numbers 97, 531, 404, 456 is 1

Given Input Data is 97, 531, 404, 456

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

Prime Factorization of 97 is 97

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(97, 531) = 51507

GCD(97, 531) = ( 97 x 531 ) / 51507

GCD(97, 531) = 51507 / 51507

GCD(97, 531) = 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 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 97, 531, 404, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 834, 731, 566
• GCD of 74, 756, 432, 289
• GCD of 45, 559, 829, 536
• GCD of 19, 748, 316, 144
• GCD of 39, 894, 739, 655

1. What is the GCD of 97, 531, 404, 456?

GCD of 97, 531, 404, 456 is 1

2. Where do I get the detailed procedure to find GCD of 97, 531, 404, 456?

You can find a detailed procedure to find GCD of 97, 531, 404, 456 on our page.

3. How to find GCD of 97, 531, 404, 456 on a calculator?

You can find the GCD of 97, 531, 404, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.