GCD of 993, 672, 10, 449 Calculator

Given Input numbers are 993, 672, 10, 449

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 993, 672, 10, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 672, 10, 449 is 1.

Therefore, GCD of numbers 993, 672, 10, 449 is 1

Given Input Data is 993, 672, 10, 449

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 449 is 449

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, 672) = 222432

GCD(993, 672) = ( 993 x 672 ) / 222432

GCD(993, 672) = 667296 / 222432

GCD(993, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 993, 672, 10, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 352, 52, 666
• GCD of 777, 644, 87, 953
• GCD of 586, 126, 28, 195
• GCD of 976, 765, 31, 217
• GCD of 702, 369, 18, 259

1. What is the GCD of 993, 672, 10, 449?

GCD of 993, 672, 10, 449 is 1

2. Where do I get the detailed procedure to find GCD of 993, 672, 10, 449?

You can find a detailed procedure to find GCD of 993, 672, 10, 449 on our page.

3. How to find GCD of 993, 672, 10, 449 on a calculator?

You can find the GCD of 993, 672, 10, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.