GCD of 214, 304, 514 Calculator

Given Input numbers are 214, 304, 514

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 214, 304, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 304, 514 is 2.

Therefore, GCD of numbers 214, 304, 514 is 2

Given Input Data is 214, 304, 514

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 514 is 2 x 257

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(214, 304) = 32528

GCD(214, 304) = ( 214 x 304 ) / 32528

GCD(214, 304) = 65056 / 32528

GCD(214, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

GCD of 214, 304, 514 is 2

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1. What is the GCD of 214, 304, 514?

GCD of 214, 304, 514 is 2

2. Where do I get the detailed procedure to find GCD of 214, 304, 514?

You can find a detailed procedure to find GCD of 214, 304, 514 on our page.

3. How to find GCD of 214, 304, 514 on a calculator?

You can find the GCD of 214, 304, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.