GCD of 299, 470, 601, 300 Calculator

Given Input numbers are 299, 470, 601, 300

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

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

Greatest Common Divisior

We found the divisors of 299, 470, 601, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 470, 601, 300 is 1.

Therefore, GCD of numbers 299, 470, 601, 300 is 1

Given Input Data is 299, 470, 601, 300

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 601 is 601

Prime Factorization of 300 is 2 x 2 x 3 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(299, 470) = 140530

GCD(299, 470) = ( 299 x 470 ) / 140530

GCD(299, 470) = 140530 / 140530

GCD(299, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 299, 470, 601, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 570, 451, 596
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• GCD of 257, 602, 289, 407

1. What is the GCD of 299, 470, 601, 300?

GCD of 299, 470, 601, 300 is 1

2. Where do I get the detailed procedure to find GCD of 299, 470, 601, 300?

You can find a detailed procedure to find GCD of 299, 470, 601, 300 on our page.

3. How to find GCD of 299, 470, 601, 300 on a calculator?

You can find the GCD of 299, 470, 601, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.