GCD of 494, 505, 223, 360 Calculator

Given Input numbers are 494, 505, 223, 360

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 494, 505, 223, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 505, 223, 360 is 1.

Therefore, GCD of numbers 494, 505, 223, 360 is 1

Given Input Data is 494, 505, 223, 360

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 505 is 5 x 101

Prime Factorization of 223 is 223

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 505) = 249470

GCD(494, 505) = ( 494 x 505 ) / 249470

GCD(494, 505) = 249470 / 249470

GCD(494, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 494, 505, 223, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 730, 274, 908
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• GCD of 531, 749, 531, 511

1. What is the GCD of 494, 505, 223, 360?

GCD of 494, 505, 223, 360 is 1

2. Where do I get the detailed procedure to find GCD of 494, 505, 223, 360?

You can find a detailed procedure to find GCD of 494, 505, 223, 360 on our page.

3. How to find GCD of 494, 505, 223, 360 on a calculator?

You can find the GCD of 494, 505, 223, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.