GCD of 529, 544, 19, 104 Calculator

Given Input numbers are 529, 544, 19, 104

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 19

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

1, 19

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 529, 544, 19, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 544, 19, 104 is 1.

Therefore, GCD of numbers 529, 544, 19, 104 is 1

Given Input Data is 529, 544, 19, 104

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 19 is 19

Prime Factorization of 104 is 2 x 2 x 2 x 13

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, 544) = 287776

GCD(529, 544) = ( 529 x 544 ) / 287776

GCD(529, 544) = 287776 / 287776

GCD(529, 544) = 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 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 529, 544, 19, 104 is 1

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• GCD of 680, 252, 29, 225
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• GCD of 734, 387, 67, 983

1. What is the GCD of 529, 544, 19, 104?

GCD of 529, 544, 19, 104 is 1

2. Where do I get the detailed procedure to find GCD of 529, 544, 19, 104?

You can find a detailed procedure to find GCD of 529, 544, 19, 104 on our page.

3. How to find GCD of 529, 544, 19, 104 on a calculator?

You can find the GCD of 529, 544, 19, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.