GCD of 529, 392, 16, 259 Calculator

Given Input numbers are 529, 392, 16, 259

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 529, 392, 16, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 392, 16, 259 is 1.

Therefore, GCD of numbers 529, 392, 16, 259 is 1

Given Input Data is 529, 392, 16, 259

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 259 is 7 x 37

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(529, 392) = 207368

GCD(529, 392) = ( 529 x 392 ) / 207368

GCD(529, 392) = 207368 / 207368

GCD(529, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 529, 392, 16, 259 is 1

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• GCD of 147, 249, 84, 299
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1. What is the GCD of 529, 392, 16, 259?

GCD of 529, 392, 16, 259 is 1

2. Where do I get the detailed procedure to find GCD of 529, 392, 16, 259?

You can find a detailed procedure to find GCD of 529, 392, 16, 259 on our page.

3. How to find GCD of 529, 392, 16, 259 on a calculator?

You can find the GCD of 529, 392, 16, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.