GCD of 496, 326, 19, 331 Calculator

Given Input numbers are 496, 326, 19, 331

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

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 496, 326, 19, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 326, 19, 331 is 1.

Therefore, GCD of numbers 496, 326, 19, 331 is 1

Given Input Data is 496, 326, 19, 331

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

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 19 is 19

Prime Factorization of 331 is 331

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(496, 326) = 80848

GCD(496, 326) = ( 496 x 326 ) / 80848

GCD(496, 326) = 161696 / 80848

GCD(496, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 496, 326, 19, 331 is 1

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1. What is the GCD of 496, 326, 19, 331?

GCD of 496, 326, 19, 331 is 1

2. Where do I get the detailed procedure to find GCD of 496, 326, 19, 331?

You can find a detailed procedure to find GCD of 496, 326, 19, 331 on our page.

3. How to find GCD of 496, 326, 19, 331 on a calculator?

You can find the GCD of 496, 326, 19, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.