GCD of 186, 162, 438, 864 Calculator

Given Input numbers are 186, 162, 438, 864

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 186, 162, 438, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 162, 438, 864 is 6.

Therefore, GCD of numbers 186, 162, 438, 864 is 6

Given Input Data is 186, 162, 438, 864

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

Prime Factorization of 186 is 2 x 3 x 31

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(186, 162) = 5022

GCD(186, 162) = ( 186 x 162 ) / 5022

GCD(186, 162) = 30132 / 5022

GCD(186, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 438

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

LCM(6, 438) = 438

GCD(6, 438) = ( 6 x 438 ) / 438

GCD(6, 438) = 2628 / 438

GCD(6, 438) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 864

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

LCM(6, 864) = 864

GCD(6, 864) = ( 6 x 864 ) / 864

GCD(6, 864) = 5184 / 864

GCD(6, 864) = 6

GCD of 186, 162, 438, 864 is 6

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1. What is the GCD of 186, 162, 438, 864?

GCD of 186, 162, 438, 864 is 6

2. Where do I get the detailed procedure to find GCD of 186, 162, 438, 864?

You can find a detailed procedure to find GCD of 186, 162, 438, 864 on our page.

3. How to find GCD of 186, 162, 438, 864 on a calculator?

You can find the GCD of 186, 162, 438, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.