GCD of 19, 512, 331, 634 Calculator

Given Input numbers are 19, 512, 331, 634

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

Divisors of 19

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

1, 19

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 331

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

1, 331

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 19, 512, 331, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 512, 331, 634 is 1.

Therefore, GCD of numbers 19, 512, 331, 634 is 1

Given Input Data is 19, 512, 331, 634

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

Prime Factorization of 19 is 19

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 331 is 331

Prime Factorization of 634 is 2 x 317

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(19, 512) = 9728

GCD(19, 512) = ( 19 x 512 ) / 9728

GCD(19, 512) = 9728 / 9728

GCD(19, 512) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 19, 512, 331, 634 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 972, 396, 338
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• GCD of 23, 832, 241, 467
• GCD of 19, 877, 235, 682
• GCD of 39, 590, 699, 556

1. What is the GCD of 19, 512, 331, 634?

GCD of 19, 512, 331, 634 is 1

2. Where do I get the detailed procedure to find GCD of 19, 512, 331, 634?

You can find a detailed procedure to find GCD of 19, 512, 331, 634 on our page.

3. How to find GCD of 19, 512, 331, 634 on a calculator?

You can find the GCD of 19, 512, 331, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.