GCD of 559, 637, 623, 682 Calculator

Given Input numbers are 559, 637, 623, 682

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 559, 637, 623, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 637, 623, 682 is 1.

Therefore, GCD of numbers 559, 637, 623, 682 is 1

Given Input Data is 559, 637, 623, 682

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 623 is 7 x 89

Prime Factorization of 682 is 2 x 11 x 31

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, 637) = 27391

GCD(559, 637) = ( 559 x 637 ) / 27391

GCD(559, 637) = 356083 / 27391

GCD(559, 637) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 623

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

LCM(13, 623) = 8099

GCD(13, 623) = ( 13 x 623 ) / 8099

GCD(13, 623) = 8099 / 8099

GCD(13, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 559, 637, 623, 682 is 1

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1. What is the GCD of 559, 637, 623, 682?

GCD of 559, 637, 623, 682 is 1

2. Where do I get the detailed procedure to find GCD of 559, 637, 623, 682?

You can find a detailed procedure to find GCD of 559, 637, 623, 682 on our page.

3. How to find GCD of 559, 637, 623, 682 on a calculator?

You can find the GCD of 559, 637, 623, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.