GCD of 494, 659, 355, 446 Calculator

Given Input numbers are 494, 659, 355, 446

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 494, 659, 355, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 659, 355, 446 is 1.

Therefore, GCD of numbers 494, 659, 355, 446 is 1

Given Input Data is 494, 659, 355, 446

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 659 is 659

Prime Factorization of 355 is 5 x 71

Prime Factorization of 446 is 2 x 223

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, 659) = 325546

GCD(494, 659) = ( 494 x 659 ) / 325546

GCD(494, 659) = 325546 / 325546

GCD(494, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 494, 659, 355, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 460, 486, 820
• GCD of 815, 543, 831, 526
• GCD of 641, 999, 207, 637
• GCD of 491, 970, 635, 120
• GCD of 295, 624, 657, 299

1. What is the GCD of 494, 659, 355, 446?

GCD of 494, 659, 355, 446 is 1

2. Where do I get the detailed procedure to find GCD of 494, 659, 355, 446?

You can find a detailed procedure to find GCD of 494, 659, 355, 446 on our page.

3. How to find GCD of 494, 659, 355, 446 on a calculator?

You can find the GCD of 494, 659, 355, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.