GCD of 171, 366, 216, 342 Calculator

Given Input numbers are 171, 366, 216, 342

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 171, 366, 216, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 366, 216, 342 is 3.

Therefore, GCD of numbers 171, 366, 216, 342 is 3

Given Input Data is 171, 366, 216, 342

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(171, 366) = 20862

GCD(171, 366) = ( 171 x 366 ) / 20862

GCD(171, 366) = 62586 / 20862

GCD(171, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 342

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

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

GCD(3, 342) = 1026 / 342

GCD(3, 342) = 3

GCD of 171, 366, 216, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 821, 170, 925
• GCD of 413, 121, 285, 595
• GCD of 986, 759, 422, 582
• GCD of 509, 674, 916, 575
• GCD of 884, 860, 822, 297

1. What is the GCD of 171, 366, 216, 342?

GCD of 171, 366, 216, 342 is 3

2. Where do I get the detailed procedure to find GCD of 171, 366, 216, 342?

You can find a detailed procedure to find GCD of 171, 366, 216, 342 on our page.

3. How to find GCD of 171, 366, 216, 342 on a calculator?

You can find the GCD of 171, 366, 216, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.