GCD of 566, 264, 334 Calculator

Given Input numbers are 566, 264, 334

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 566, 264, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 264, 334 is 2.

Therefore, GCD of numbers 566, 264, 334 is 2

Given Input Data is 566, 264, 334

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 334 is 2 x 167

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, 264) = 74712

GCD(566, 264) = ( 566 x 264 ) / 74712

GCD(566, 264) = 149424 / 74712

GCD(566, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 566, 264, 334 is 2

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1. What is the GCD of 566, 264, 334?

GCD of 566, 264, 334 is 2

2. Where do I get the detailed procedure to find GCD of 566, 264, 334?

You can find a detailed procedure to find GCD of 566, 264, 334 on our page.

3. How to find GCD of 566, 264, 334 on a calculator?

You can find the GCD of 566, 264, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.