GCD of 399, 300, 162 Calculator

Given Input numbers are 399, 300, 162

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 399, 300, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 300, 162 is 3.

Therefore, GCD of numbers 399, 300, 162 is 3

Given Input Data is 399, 300, 162

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

Prime Factorization of 399 is 3 x 7 x 19

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(399, 300) = 39900

GCD(399, 300) = ( 399 x 300 ) / 39900

GCD(399, 300) = 119700 / 39900

GCD(399, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 162

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

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

GCD(3, 162) = 486 / 162

GCD(3, 162) = 3

GCD of 399, 300, 162 is 3

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1. What is the GCD of 399, 300, 162?

GCD of 399, 300, 162 is 3

2. Where do I get the detailed procedure to find GCD of 399, 300, 162?

You can find a detailed procedure to find GCD of 399, 300, 162 on our page.

3. How to find GCD of 399, 300, 162 on a calculator?

You can find the GCD of 399, 300, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.