GCD of 496, 217, 255, 494 Calculator

Given Input numbers are 496, 217, 255, 494

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

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

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 496, 217, 255, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 217, 255, 494 is 1.

Therefore, GCD of numbers 496, 217, 255, 494 is 1

Given Input Data is 496, 217, 255, 494

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

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 255 is 3 x 5 x 17

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(496, 217) = 3472

GCD(496, 217) = ( 496 x 217 ) / 3472

GCD(496, 217) = 107632 / 3472

GCD(496, 217) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 255

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

LCM(31, 255) = 7905

GCD(31, 255) = ( 31 x 255 ) / 7905

GCD(31, 255) = 7905 / 7905

GCD(31, 255) = 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 496, 217, 255, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 206, 743, 204
• GCD of 790, 708, 474, 899
• GCD of 415, 903, 284, 799
• GCD of 336, 559, 667, 335
• GCD of 194, 726, 589, 141

1. What is the GCD of 496, 217, 255, 494?

GCD of 496, 217, 255, 494 is 1

2. Where do I get the detailed procedure to find GCD of 496, 217, 255, 494?

You can find a detailed procedure to find GCD of 496, 217, 255, 494 on our page.

3. How to find GCD of 496, 217, 255, 494 on a calculator?

You can find the GCD of 496, 217, 255, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.