GCD of 302, 334, 506 Calculator

Given Input numbers are 302, 334, 506

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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

Greatest Common Divisior

We found the divisors of 302, 334, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 334, 506 is 2.

Therefore, GCD of numbers 302, 334, 506 is 2

Given Input Data is 302, 334, 506

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 334 is 2 x 167

Prime Factorization of 506 is 2 x 11 x 23

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(302, 334) = 50434

GCD(302, 334) = ( 302 x 334 ) / 50434

GCD(302, 334) = 100868 / 50434

GCD(302, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 302, 334, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 128, 588
• GCD of 640, 528, 943
• GCD of 930, 190, 156
• GCD of 660, 351, 422
• GCD of 840, 464, 501

1. What is the GCD of 302, 334, 506?

GCD of 302, 334, 506 is 2

2. Where do I get the detailed procedure to find GCD of 302, 334, 506?

You can find a detailed procedure to find GCD of 302, 334, 506 on our page.

3. How to find GCD of 302, 334, 506 on a calculator?

You can find the GCD of 302, 334, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.