GCD of 570, 728, 72 Calculator

Given Input numbers are 570, 728, 72

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

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 570, 728, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 728, 72 is 2.

Therefore, GCD of numbers 570, 728, 72 is 2

Given Input Data is 570, 728, 72

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

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 72 is 2 x 2 x 2 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(570, 728) = 207480

GCD(570, 728) = ( 570 x 728 ) / 207480

GCD(570, 728) = 414960 / 207480

GCD(570, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

GCD of 570, 728, 72 is 2

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• GCD of 410, 111, 13
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• GCD of 822, 694, 71
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1. What is the GCD of 570, 728, 72?

GCD of 570, 728, 72 is 2

2. Where do I get the detailed procedure to find GCD of 570, 728, 72?

You can find a detailed procedure to find GCD of 570, 728, 72 on our page.

3. How to find GCD of 570, 728, 72 on a calculator?

You can find the GCD of 570, 728, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.