GCD of 334, 506, 38, 290 Calculator

Given Input numbers are 334, 506, 38, 290

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 334, 506, 38, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 506, 38, 290 is 2.

Therefore, GCD of numbers 334, 506, 38, 290 is 2

Given Input Data is 334, 506, 38, 290

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 290 is 2 x 5 x 29

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, 506) = 84502

GCD(334, 506) = ( 334 x 506 ) / 84502

GCD(334, 506) = 169004 / 84502

GCD(334, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 334, 506, 38, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 814, 93, 377
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1. What is the GCD of 334, 506, 38, 290?

GCD of 334, 506, 38, 290 is 2

2. Where do I get the detailed procedure to find GCD of 334, 506, 38, 290?

You can find a detailed procedure to find GCD of 334, 506, 38, 290 on our page.

3. How to find GCD of 334, 506, 38, 290 on a calculator?

You can find the GCD of 334, 506, 38, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.