GCD of 300, 306, 20, 703 Calculator

Given Input numbers are 300, 306, 20, 703

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 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 300, 306, 20, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 306, 20, 703 is 1.

Therefore, GCD of numbers 300, 306, 20, 703 is 1

Given Input Data is 300, 306, 20, 703

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 306 is 2 x 3 x 3 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 703 is 19 x 37

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(300, 306) = 15300

GCD(300, 306) = ( 300 x 306 ) / 15300

GCD(300, 306) = 91800 / 15300

GCD(300, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

GCD of 300, 306, 20, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 767, 46, 707
• GCD of 761, 787, 99, 346
• GCD of 671, 896, 10, 934
• GCD of 765, 383, 18, 764
• GCD of 421, 122, 98, 744

1. What is the GCD of 300, 306, 20, 703?

GCD of 300, 306, 20, 703 is 1

2. Where do I get the detailed procedure to find GCD of 300, 306, 20, 703?

You can find a detailed procedure to find GCD of 300, 306, 20, 703 on our page.

3. How to find GCD of 300, 306, 20, 703 on a calculator?

You can find the GCD of 300, 306, 20, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.