GCD of 559, 530, 902, 966 Calculator

Given Input numbers are 559, 530, 902, 966

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 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 559, 530, 902, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 530, 902, 966 is 1.

Therefore, GCD of numbers 559, 530, 902, 966 is 1

Given Input Data is 559, 530, 902, 966

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 966 is 2 x 3 x 7 x 23

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, 530) = 296270

GCD(559, 530) = ( 559 x 530 ) / 296270

GCD(559, 530) = 296270 / 296270

GCD(559, 530) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 559, 530, 902, 966 is 1

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1. What is the GCD of 559, 530, 902, 966?

GCD of 559, 530, 902, 966 is 1

2. Where do I get the detailed procedure to find GCD of 559, 530, 902, 966?

You can find a detailed procedure to find GCD of 559, 530, 902, 966 on our page.

3. How to find GCD of 559, 530, 902, 966 on a calculator?

You can find the GCD of 559, 530, 902, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.