GCD of 120, 594, 16, 566 Calculator

Given Input numbers are 120, 594, 16, 566

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 566

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

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 120, 594, 16, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 594, 16, 566 is 2.

Therefore, GCD of numbers 120, 594, 16, 566 is 2

Given Input Data is 120, 594, 16, 566

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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

Prime Factorization of 566 is 2 x 283

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(120, 594) = 11880

GCD(120, 594) = ( 120 x 594 ) / 11880

GCD(120, 594) = 71280 / 11880

GCD(120, 594) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

GCD of 120, 594, 16, 566 is 2

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• GCD of 184, 831, 32, 546
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1. What is the GCD of 120, 594, 16, 566?

GCD of 120, 594, 16, 566 is 2

2. Where do I get the detailed procedure to find GCD of 120, 594, 16, 566?

You can find a detailed procedure to find GCD of 120, 594, 16, 566 on our page.

3. How to find GCD of 120, 594, 16, 566 on a calculator?

You can find the GCD of 120, 594, 16, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.