GCD of 559, 529, 495, 242 Calculator

Given Input numbers are 559, 529, 495, 242

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 529

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

1, 23, 529

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 559, 529, 495, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 529, 495, 242 is 1.

Therefore, GCD of numbers 559, 529, 495, 242 is 1

Given Input Data is 559, 529, 495, 242

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 529 is 23 x 23

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 242 is 2 x 11 x 11

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, 529) = 295711

GCD(559, 529) = ( 559 x 529 ) / 295711

GCD(559, 529) = 295711 / 295711

GCD(559, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 559, 529, 495, 242 is 1

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1. What is the GCD of 559, 529, 495, 242?

GCD of 559, 529, 495, 242 is 1

2. Where do I get the detailed procedure to find GCD of 559, 529, 495, 242?

You can find a detailed procedure to find GCD of 559, 529, 495, 242 on our page.

3. How to find GCD of 559, 529, 495, 242 on a calculator?

You can find the GCD of 559, 529, 495, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.