GCD of 300, 165, 309, 200 Calculator

Given Input numbers are 300, 165, 309, 200

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 300, 165, 309, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 165, 309, 200 is 1.

Therefore, GCD of numbers 300, 165, 309, 200 is 1

Given Input Data is 300, 165, 309, 200

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 165 is 3 x 5 x 11

Prime Factorization of 309 is 3 x 103

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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, 165) = 3300

GCD(300, 165) = ( 300 x 165 ) / 3300

GCD(300, 165) = 49500 / 3300

GCD(300, 165) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 309

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

LCM(15, 309) = 1545

GCD(15, 309) = ( 15 x 309 ) / 1545

GCD(15, 309) = 4635 / 1545

GCD(15, 309) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 200

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

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

GCD(3, 200) = 600 / 600

GCD(3, 200) = 1

GCD of 300, 165, 309, 200 is 1

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• GCD of 802, 195, 924, 538
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1. What is the GCD of 300, 165, 309, 200?

GCD of 300, 165, 309, 200 is 1

2. Where do I get the detailed procedure to find GCD of 300, 165, 309, 200?

You can find a detailed procedure to find GCD of 300, 165, 309, 200 on our page.

3. How to find GCD of 300, 165, 309, 200 on a calculator?

You can find the GCD of 300, 165, 309, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.