GCD of 566, 146, 56, 720 Calculator

Given Input numbers are 566, 146, 56, 720

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 566, 146, 56, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 146, 56, 720 is 2.

Therefore, GCD of numbers 566, 146, 56, 720 is 2

Given Input Data is 566, 146, 56, 720

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 146 is 2 x 73

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(566, 146) = 41318

GCD(566, 146) = ( 566 x 146 ) / 41318

GCD(566, 146) = 82636 / 41318

GCD(566, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 566, 146, 56, 720 is 2

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1. What is the GCD of 566, 146, 56, 720?

GCD of 566, 146, 56, 720 is 2

2. Where do I get the detailed procedure to find GCD of 566, 146, 56, 720?

You can find a detailed procedure to find GCD of 566, 146, 56, 720 on our page.

3. How to find GCD of 566, 146, 56, 720 on a calculator?

You can find the GCD of 566, 146, 56, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.