GCD of 514, 239, 42, 496 Calculator

Given Input numbers are 514, 239, 42, 496

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

Divisors of 514

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

1, 2, 257, 514

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 514, 239, 42, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 239, 42, 496 is 1.

Therefore, GCD of numbers 514, 239, 42, 496 is 1

Given Input Data is 514, 239, 42, 496

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 239 is 239

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

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(514, 239) = 122846

GCD(514, 239) = ( 514 x 239 ) / 122846

GCD(514, 239) = 122846 / 122846

GCD(514, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 514, 239, 42, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 499, 17, 607
• GCD of 757, 593, 68, 911
• GCD of 187, 962, 29, 209
• GCD of 688, 419, 63, 194
• GCD of 229, 159, 56, 885

1. What is the GCD of 514, 239, 42, 496?

GCD of 514, 239, 42, 496 is 1

2. Where do I get the detailed procedure to find GCD of 514, 239, 42, 496?

You can find a detailed procedure to find GCD of 514, 239, 42, 496 on our page.

3. How to find GCD of 514, 239, 42, 496 on a calculator?

You can find the GCD of 514, 239, 42, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.