GCD of 298, 171, 19, 512 Calculator

Given Input numbers are 298, 171, 19, 512

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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

Greatest Common Divisior

We found the divisors of 298, 171, 19, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 171, 19, 512 is 1.

Therefore, GCD of numbers 298, 171, 19, 512 is 1

Given Input Data is 298, 171, 19, 512

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 171 is 3 x 3 x 19

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

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(298, 171) = 50958

GCD(298, 171) = ( 298 x 171 ) / 50958

GCD(298, 171) = 50958 / 50958

GCD(298, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 298, 171, 19, 512 is 1

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1. What is the GCD of 298, 171, 19, 512?

GCD of 298, 171, 19, 512 is 1

2. Where do I get the detailed procedure to find GCD of 298, 171, 19, 512?

You can find a detailed procedure to find GCD of 298, 171, 19, 512 on our page.

3. How to find GCD of 298, 171, 19, 512 on a calculator?

You can find the GCD of 298, 171, 19, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.