GCD of 845, 413, 13, 300 Calculator

Given Input numbers are 845, 413, 13, 300

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 845, 413, 13, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 413, 13, 300 is 1.

Therefore, GCD of numbers 845, 413, 13, 300 is 1

Given Input Data is 845, 413, 13, 300

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 413 is 7 x 59

Prime Factorization of 13 is 13

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(845, 413) = 348985

GCD(845, 413) = ( 845 x 413 ) / 348985

GCD(845, 413) = 348985 / 348985

GCD(845, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 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 845, 413, 13, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 828, 58, 276
• GCD of 377, 490, 34, 994
• GCD of 611, 441, 93, 697
• GCD of 107, 410, 56, 328
• GCD of 761, 846, 18, 118

1. What is the GCD of 845, 413, 13, 300?

GCD of 845, 413, 13, 300 is 1

2. Where do I get the detailed procedure to find GCD of 845, 413, 13, 300?

You can find a detailed procedure to find GCD of 845, 413, 13, 300 on our page.

3. How to find GCD of 845, 413, 13, 300 on a calculator?

You can find the GCD of 845, 413, 13, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.