GCD of 993, 915, 663, 404 Calculator

Given Input numbers are 993, 915, 663, 404

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 993, 915, 663, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 915, 663, 404 is 1.

Therefore, GCD of numbers 993, 915, 663, 404 is 1

Given Input Data is 993, 915, 663, 404

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 404 is 2 x 2 x 101

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(993, 915) = 302865

GCD(993, 915) = ( 993 x 915 ) / 302865

GCD(993, 915) = 908595 / 302865

GCD(993, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 663

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

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

GCD(3, 663) = 1989 / 663

GCD(3, 663) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 404

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

LCM(3, 404) = 1212

GCD(3, 404) = ( 3 x 404 ) / 1212

GCD(3, 404) = 1212 / 1212

GCD(3, 404) = 1

GCD of 993, 915, 663, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 625, 122, 572
• GCD of 619, 928, 179, 283
• GCD of 372, 418, 390, 306
• GCD of 873, 696, 910, 510
• GCD of 360, 989, 415, 312

1. What is the GCD of 993, 915, 663, 404?

GCD of 993, 915, 663, 404 is 1

2. Where do I get the detailed procedure to find GCD of 993, 915, 663, 404?

You can find a detailed procedure to find GCD of 993, 915, 663, 404 on our page.

3. How to find GCD of 993, 915, 663, 404 on a calculator?

You can find the GCD of 993, 915, 663, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.