GCD of 494, 455, 255, 772 Calculator

Given Input numbers are 494, 455, 255, 772

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

Divisors of 494

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

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 494, 455, 255, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 455, 255, 772 is 1.

Therefore, GCD of numbers 494, 455, 255, 772 is 1

Given Input Data is 494, 455, 255, 772

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 772 is 2 x 2 x 193

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(494, 455) = 17290

GCD(494, 455) = ( 494 x 455 ) / 17290

GCD(494, 455) = 224770 / 17290

GCD(494, 455) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 255

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

LCM(13, 255) = 3315

GCD(13, 255) = ( 13 x 255 ) / 3315

GCD(13, 255) = 3315 / 3315

GCD(13, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 494, 455, 255, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 771, 879, 868
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• GCD of 959, 437, 326, 831

1. What is the GCD of 494, 455, 255, 772?

GCD of 494, 455, 255, 772 is 1

2. Where do I get the detailed procedure to find GCD of 494, 455, 255, 772?

You can find a detailed procedure to find GCD of 494, 455, 255, 772 on our page.

3. How to find GCD of 494, 455, 255, 772 on a calculator?

You can find the GCD of 494, 455, 255, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.