GCD of 389, 300, 86, 828 Calculator

Given Input numbers are 389, 300, 86, 828

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 389, 300, 86, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 300, 86, 828 is 1.

Therefore, GCD of numbers 389, 300, 86, 828 is 1

Given Input Data is 389, 300, 86, 828

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

Prime Factorization of 389 is 389

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 828 is 2 x 2 x 3 x 3 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(389, 300) = 116700

GCD(389, 300) = ( 389 x 300 ) / 116700

GCD(389, 300) = 116700 / 116700

GCD(389, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 389, 300, 86, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 258, 21, 806
• GCD of 550, 271, 92, 794
• GCD of 379, 399, 61, 343
• GCD of 674, 328, 86, 324
• GCD of 508, 614, 13, 464

1. What is the GCD of 389, 300, 86, 828?

GCD of 389, 300, 86, 828 is 1

2. Where do I get the detailed procedure to find GCD of 389, 300, 86, 828?

You can find a detailed procedure to find GCD of 389, 300, 86, 828 on our page.

3. How to find GCD of 389, 300, 86, 828 on a calculator?

You can find the GCD of 389, 300, 86, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.