GCD of 559, 260, 52, 103 Calculator

Given Input numbers are 559, 260, 52, 103

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 559, 260, 52, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 260, 52, 103 is 1.

Therefore, GCD of numbers 559, 260, 52, 103 is 1

Given Input Data is 559, 260, 52, 103

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 103 is 103

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(559, 260) = 11180

GCD(559, 260) = ( 559 x 260 ) / 11180

GCD(559, 260) = 145340 / 11180

GCD(559, 260) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 52

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

LCM(13, 52) = 52

GCD(13, 52) = ( 13 x 52 ) / 52

GCD(13, 52) = 676 / 52

GCD(13, 52) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 103

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

LCM(13, 103) = 1339

GCD(13, 103) = ( 13 x 103 ) / 1339

GCD(13, 103) = 1339 / 1339

GCD(13, 103) = 1

GCD of 559, 260, 52, 103 is 1

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• GCD of 775, 421, 20, 777
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1. What is the GCD of 559, 260, 52, 103?

GCD of 559, 260, 52, 103 is 1

2. Where do I get the detailed procedure to find GCD of 559, 260, 52, 103?

You can find a detailed procedure to find GCD of 559, 260, 52, 103 on our page.

3. How to find GCD of 559, 260, 52, 103 on a calculator?

You can find the GCD of 559, 260, 52, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.