GCD of 300, 204, 666, 982 Calculator

Given Input numbers are 300, 204, 666, 982

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 300, 204, 666, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 204, 666, 982 is 2.

Therefore, GCD of numbers 300, 204, 666, 982 is 2

Given Input Data is 300, 204, 666, 982

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 982 is 2 x 491

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(300, 204) = 5100

GCD(300, 204) = ( 300 x 204 ) / 5100

GCD(300, 204) = 61200 / 5100

GCD(300, 204) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 666

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

LCM(12, 666) = 1332

GCD(12, 666) = ( 12 x 666 ) / 1332

GCD(12, 666) = 7992 / 1332

GCD(12, 666) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 982

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

LCM(6, 982) = 2946

GCD(6, 982) = ( 6 x 982 ) / 2946

GCD(6, 982) = 5892 / 2946

GCD(6, 982) = 2

GCD of 300, 204, 666, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 781, 863, 489
• GCD of 838, 188, 371, 807
• GCD of 367, 936, 430, 451
• GCD of 706, 144, 667, 304
• GCD of 535, 731, 775, 964

1. What is the GCD of 300, 204, 666, 982?

GCD of 300, 204, 666, 982 is 2

2. Where do I get the detailed procedure to find GCD of 300, 204, 666, 982?

You can find a detailed procedure to find GCD of 300, 204, 666, 982 on our page.

3. How to find GCD of 300, 204, 666, 982 on a calculator?

You can find the GCD of 300, 204, 666, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.