GCD of 334, 566, 60, 268 Calculator

Given Input numbers are 334, 566, 60, 268

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

Divisors of 334

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

1, 2, 167, 334

Divisors of 566

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

1, 2, 283, 566

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 334, 566, 60, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 566, 60, 268 is 2.

Therefore, GCD of numbers 334, 566, 60, 268 is 2

Given Input Data is 334, 566, 60, 268

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 566 is 2 x 283

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 268 is 2 x 2 x 67

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(334, 566) = 94522

GCD(334, 566) = ( 334 x 566 ) / 94522

GCD(334, 566) = 189044 / 94522

GCD(334, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

GCD of 334, 566, 60, 268 is 2

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1. What is the GCD of 334, 566, 60, 268?

GCD of 334, 566, 60, 268 is 2

2. Where do I get the detailed procedure to find GCD of 334, 566, 60, 268?

You can find a detailed procedure to find GCD of 334, 566, 60, 268 on our page.

3. How to find GCD of 334, 566, 60, 268 on a calculator?

You can find the GCD of 334, 566, 60, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.