GCD of 456, 538, 71, 999 Calculator

Given Input numbers are 456, 538, 71, 999

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

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 456, 538, 71, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 538, 71, 999 is 1.

Therefore, GCD of numbers 456, 538, 71, 999 is 1

Given Input Data is 456, 538, 71, 999

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

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 71 is 71

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(456, 538) = 122664

GCD(456, 538) = ( 456 x 538 ) / 122664

GCD(456, 538) = 245328 / 122664

GCD(456, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 456, 538, 71, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 393, 30, 463
• GCD of 788, 653, 67, 970
• GCD of 900, 723, 13, 599
• GCD of 180, 260, 80, 112
• GCD of 657, 938, 27, 919

1. What is the GCD of 456, 538, 71, 999?

GCD of 456, 538, 71, 999 is 1

2. Where do I get the detailed procedure to find GCD of 456, 538, 71, 999?

You can find a detailed procedure to find GCD of 456, 538, 71, 999 on our page.

3. How to find GCD of 456, 538, 71, 999 on a calculator?

You can find the GCD of 456, 538, 71, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.