GCD of 216, 264, 34, 210 Calculator

Given Input numbers are 216, 264, 34, 210

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

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 216, 264, 34, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 264, 34, 210 is 2.

Therefore, GCD of numbers 216, 264, 34, 210 is 2

Given Input Data is 216, 264, 34, 210

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

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 34 is 2 x 17

Prime Factorization of 210 is 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(216, 264) = 2376

GCD(216, 264) = ( 216 x 264 ) / 2376

GCD(216, 264) = 57024 / 2376

GCD(216, 264) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 34

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

LCM(24, 34) = 408

GCD(24, 34) = ( 24 x 34 ) / 408

GCD(24, 34) = 816 / 408

GCD(24, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 216, 264, 34, 210 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 361, 68, 686
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• GCD of 376, 781, 53, 169
• GCD of 748, 876, 58, 455
• GCD of 944, 723, 10, 907

1. What is the GCD of 216, 264, 34, 210?

GCD of 216, 264, 34, 210 is 2

2. Where do I get the detailed procedure to find GCD of 216, 264, 34, 210?

You can find a detailed procedure to find GCD of 216, 264, 34, 210 on our page.

3. How to find GCD of 216, 264, 34, 210 on a calculator?

You can find the GCD of 216, 264, 34, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.