GCD of 559, 965, 12, 626 Calculator

Given Input numbers are 559, 965, 12, 626

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 559, 965, 12, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 965, 12, 626 is 1.

Therefore, GCD of numbers 559, 965, 12, 626 is 1

Given Input Data is 559, 965, 12, 626

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 965 is 5 x 193

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 626 is 2 x 313

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, 965) = 539435

GCD(559, 965) = ( 559 x 965 ) / 539435

GCD(559, 965) = 539435 / 539435

GCD(559, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 559, 965, 12, 626 is 1

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1. What is the GCD of 559, 965, 12, 626?

GCD of 559, 965, 12, 626 is 1

2. Where do I get the detailed procedure to find GCD of 559, 965, 12, 626?

You can find a detailed procedure to find GCD of 559, 965, 12, 626 on our page.

3. How to find GCD of 559, 965, 12, 626 on a calculator?

You can find the GCD of 559, 965, 12, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.