GCD of 346, 566, 16, 730 Calculator

Given Input numbers are 346, 566, 16, 730

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 566

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

1, 2, 283, 566

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 346, 566, 16, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 566, 16, 730 is 2.

Therefore, GCD of numbers 346, 566, 16, 730 is 2

Given Input Data is 346, 566, 16, 730

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 566 is 2 x 283

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 730 is 2 x 5 x 73

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(346, 566) = 97918

GCD(346, 566) = ( 346 x 566 ) / 97918

GCD(346, 566) = 195836 / 97918

GCD(346, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 346, 566, 16, 730 is 2

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1. What is the GCD of 346, 566, 16, 730?

GCD of 346, 566, 16, 730 is 2

2. Where do I get the detailed procedure to find GCD of 346, 566, 16, 730?

You can find a detailed procedure to find GCD of 346, 566, 16, 730 on our page.

3. How to find GCD of 346, 566, 16, 730 on a calculator?

You can find the GCD of 346, 566, 16, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.