GCD of 585, 378, 27, 162 Calculator

Given Input numbers are 585, 378, 27, 162

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 585, 378, 27, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 378, 27, 162 is 9.

Therefore, GCD of numbers 585, 378, 27, 162 is 9

Given Input Data is 585, 378, 27, 162

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 27 is 3 x 3 x 3

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(585, 378) = 24570

GCD(585, 378) = ( 585 x 378 ) / 24570

GCD(585, 378) = 221130 / 24570

GCD(585, 378) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 27

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

LCM(9, 27) = 27

GCD(9, 27) = ( 9 x 27 ) / 27

GCD(9, 27) = 243 / 27

GCD(9, 27) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 162

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

LCM(9, 162) = 162

GCD(9, 162) = ( 9 x 162 ) / 162

GCD(9, 162) = 1458 / 162

GCD(9, 162) = 9

GCD of 585, 378, 27, 162 is 9

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1. What is the GCD of 585, 378, 27, 162?

GCD of 585, 378, 27, 162 is 9

2. Where do I get the detailed procedure to find GCD of 585, 378, 27, 162?

You can find a detailed procedure to find GCD of 585, 378, 27, 162 on our page.

3. How to find GCD of 585, 378, 27, 162 on a calculator?

You can find the GCD of 585, 378, 27, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.