GCD of 360, 494, 421, 903 Calculator

Given Input numbers are 360, 494, 421, 903

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

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

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 360, 494, 421, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 494, 421, 903 is 1.

Therefore, GCD of numbers 360, 494, 421, 903 is 1

Given Input Data is 360, 494, 421, 903

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

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 421 is 421

Prime Factorization of 903 is 3 x 7 x 43

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(360, 494) = 88920

GCD(360, 494) = ( 360 x 494 ) / 88920

GCD(360, 494) = 177840 / 88920

GCD(360, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 421

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

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

GCD(2, 421) = 842 / 842

GCD(2, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 903

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

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

GCD(1, 903) = 903 / 903

GCD(1, 903) = 1

GCD of 360, 494, 421, 903 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 766, 401, 613
• GCD of 311, 982, 195, 733
• GCD of 532, 232, 210, 623
• GCD of 556, 757, 728, 462
• GCD of 773, 204, 147, 271

1. What is the GCD of 360, 494, 421, 903?

GCD of 360, 494, 421, 903 is 1

2. Where do I get the detailed procedure to find GCD of 360, 494, 421, 903?

You can find a detailed procedure to find GCD of 360, 494, 421, 903 on our page.

3. How to find GCD of 360, 494, 421, 903 on a calculator?

You can find the GCD of 360, 494, 421, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.