GCD of 106, 816, 570, 324 Calculator

Given Input numbers are 106, 816, 570, 324

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 106, 816, 570, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 816, 570, 324 is 2.

Therefore, GCD of numbers 106, 816, 570, 324 is 2

Given Input Data is 106, 816, 570, 324

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(106, 816) = 43248

GCD(106, 816) = ( 106 x 816 ) / 43248

GCD(106, 816) = 86496 / 43248

GCD(106, 816) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 570

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

LCM(2, 570) = 570

GCD(2, 570) = ( 2 x 570 ) / 570

GCD(2, 570) = 1140 / 570

GCD(2, 570) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 106, 816, 570, 324 is 2

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1. What is the GCD of 106, 816, 570, 324?

GCD of 106, 816, 570, 324 is 2

2. Where do I get the detailed procedure to find GCD of 106, 816, 570, 324?

You can find a detailed procedure to find GCD of 106, 816, 570, 324 on our page.

3. How to find GCD of 106, 816, 570, 324 on a calculator?

You can find the GCD of 106, 816, 570, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.