GCD of 999, 297, 66, 676 Calculator

Given Input numbers are 999, 297, 66, 676

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 999, 297, 66, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 297, 66, 676 is 1.

Therefore, GCD of numbers 999, 297, 66, 676 is 1

Given Input Data is 999, 297, 66, 676

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(999, 297) = 10989

GCD(999, 297) = ( 999 x 297 ) / 10989

GCD(999, 297) = 296703 / 10989

GCD(999, 297) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 66

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

LCM(27, 66) = 594

GCD(27, 66) = ( 27 x 66 ) / 594

GCD(27, 66) = 1782 / 594

GCD(27, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 676

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

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

GCD(3, 676) = 2028 / 2028

GCD(3, 676) = 1

GCD of 999, 297, 66, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 223, 65, 757
• GCD of 360, 165, 48, 448
• GCD of 105, 681, 47, 343
• GCD of 663, 628, 41, 529
• GCD of 830, 300, 45, 675

1. What is the GCD of 999, 297, 66, 676?

GCD of 999, 297, 66, 676 is 1

2. Where do I get the detailed procedure to find GCD of 999, 297, 66, 676?

You can find a detailed procedure to find GCD of 999, 297, 66, 676 on our page.

3. How to find GCD of 999, 297, 66, 676 on a calculator?

You can find the GCD of 999, 297, 66, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.