GCD of 216, 906, 758, 572 Calculator

Given Input numbers are 216, 906, 758, 572

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 216, 906, 758, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 906, 758, 572 is 2.

Therefore, GCD of numbers 216, 906, 758, 572 is 2

Given Input Data is 216, 906, 758, 572

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 906 is 2 x 3 x 151

Prime Factorization of 758 is 2 x 379

Prime Factorization of 572 is 2 x 2 x 11 x 13

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, 906) = 32616

GCD(216, 906) = ( 216 x 906 ) / 32616

GCD(216, 906) = 195696 / 32616

GCD(216, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 758

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

LCM(6, 758) = 2274

GCD(6, 758) = ( 6 x 758 ) / 2274

GCD(6, 758) = 4548 / 2274

GCD(6, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 216, 906, 758, 572 is 2

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1. What is the GCD of 216, 906, 758, 572?

GCD of 216, 906, 758, 572 is 2

2. Where do I get the detailed procedure to find GCD of 216, 906, 758, 572?

You can find a detailed procedure to find GCD of 216, 906, 758, 572 on our page.

3. How to find GCD of 216, 906, 758, 572 on a calculator?

You can find the GCD of 216, 906, 758, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.