GCD of 300, 207, 460 Calculator

Given Input numbers are 300, 207, 460

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 300, 207, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 207, 460 is 1.

Therefore, GCD of numbers 300, 207, 460 is 1

Given Input Data is 300, 207, 460

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 207 is 3 x 3 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 207) = 20700

GCD(300, 207) = ( 300 x 207 ) / 20700

GCD(300, 207) = 62100 / 20700

GCD(300, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 460

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

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

GCD(3, 460) = 1380 / 1380

GCD(3, 460) = 1

GCD of 300, 207, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 732, 543
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1. What is the GCD of 300, 207, 460?

GCD of 300, 207, 460 is 1

2. Where do I get the detailed procedure to find GCD of 300, 207, 460?

You can find a detailed procedure to find GCD of 300, 207, 460 on our page.

3. How to find GCD of 300, 207, 460 on a calculator?

You can find the GCD of 300, 207, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.