GCD of 493, 676, 427, 559 Calculator

Given Input numbers are 493, 676, 427, 559

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 559

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

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 493, 676, 427, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 676, 427, 559 is 1.

Therefore, GCD of numbers 493, 676, 427, 559 is 1

Given Input Data is 493, 676, 427, 559

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 427 is 7 x 61

Prime Factorization of 559 is 13 x 43

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(493, 676) = 333268

GCD(493, 676) = ( 493 x 676 ) / 333268

GCD(493, 676) = 333268 / 333268

GCD(493, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 493, 676, 427, 559 is 1

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1. What is the GCD of 493, 676, 427, 559?

GCD of 493, 676, 427, 559 is 1

2. Where do I get the detailed procedure to find GCD of 493, 676, 427, 559?

You can find a detailed procedure to find GCD of 493, 676, 427, 559 on our page.

3. How to find GCD of 493, 676, 427, 559 on a calculator?

You can find the GCD of 493, 676, 427, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.