GCD of 300, 189, 848 Calculator

Given Input numbers are 300, 189, 848

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 300, 189, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 189, 848 is 1.

Therefore, GCD of numbers 300, 189, 848 is 1

Given Input Data is 300, 189, 848

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 189 is 3 x 3 x 3 x 7

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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, 189) = 18900

GCD(300, 189) = ( 300 x 189 ) / 18900

GCD(300, 189) = 56700 / 18900

GCD(300, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 848

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

LCM(3, 848) = 2544

GCD(3, 848) = ( 3 x 848 ) / 2544

GCD(3, 848) = 2544 / 2544

GCD(3, 848) = 1

GCD of 300, 189, 848 is 1

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• GCD of 842, 220, 244
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1. What is the GCD of 300, 189, 848?

GCD of 300, 189, 848 is 1

2. Where do I get the detailed procedure to find GCD of 300, 189, 848?

You can find a detailed procedure to find GCD of 300, 189, 848 on our page.

3. How to find GCD of 300, 189, 848 on a calculator?

You can find the GCD of 300, 189, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.