GCD of 336, 165, 162, 861 Calculator

Given Input numbers are 336, 165, 162, 861

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 336, 165, 162, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 165, 162, 861 is 3.

Therefore, GCD of numbers 336, 165, 162, 861 is 3

Given Input Data is 336, 165, 162, 861

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 165 is 3 x 5 x 11

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

Prime Factorization of 861 is 3 x 7 x 41

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(336, 165) = 18480

GCD(336, 165) = ( 336 x 165 ) / 18480

GCD(336, 165) = 55440 / 18480

GCD(336, 165) = 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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 861

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

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

GCD(3, 861) = 2583 / 861

GCD(3, 861) = 3

GCD of 336, 165, 162, 861 is 3

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1. What is the GCD of 336, 165, 162, 861?

GCD of 336, 165, 162, 861 is 3

2. Where do I get the detailed procedure to find GCD of 336, 165, 162, 861?

You can find a detailed procedure to find GCD of 336, 165, 162, 861 on our page.

3. How to find GCD of 336, 165, 162, 861 on a calculator?

You can find the GCD of 336, 165, 162, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.