GCD of 227, 496, 40, 494 Calculator

Given Input numbers are 227, 496, 40, 494

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 227, 496, 40, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 496, 40, 494 is 1.

Therefore, GCD of numbers 227, 496, 40, 494 is 1

Given Input Data is 227, 496, 40, 494

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

Prime Factorization of 227 is 227

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 494 is 2 x 13 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(227, 496) = 112592

GCD(227, 496) = ( 227 x 496 ) / 112592

GCD(227, 496) = 112592 / 112592

GCD(227, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 227, 496, 40, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 110, 14, 634
• GCD of 276, 477, 14, 805
• GCD of 694, 600, 63, 218
• GCD of 790, 766, 63, 658
• GCD of 906, 579, 64, 772

1. What is the GCD of 227, 496, 40, 494?

GCD of 227, 496, 40, 494 is 1

2. Where do I get the detailed procedure to find GCD of 227, 496, 40, 494?

You can find a detailed procedure to find GCD of 227, 496, 40, 494 on our page.

3. How to find GCD of 227, 496, 40, 494 on a calculator?

You can find the GCD of 227, 496, 40, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.