GCD of 413, 559, 28, 705 Calculator

Given Input numbers are 413, 559, 28, 705

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 559

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

1, 13, 43, 559

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 413, 559, 28, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 559, 28, 705 is 1.

Therefore, GCD of numbers 413, 559, 28, 705 is 1

Given Input Data is 413, 559, 28, 705

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 559 is 13 x 43

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 705 is 3 x 5 x 47

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(413, 559) = 230867

GCD(413, 559) = ( 413 x 559 ) / 230867

GCD(413, 559) = 230867 / 230867

GCD(413, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 413, 559, 28, 705 is 1

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1. What is the GCD of 413, 559, 28, 705?

GCD of 413, 559, 28, 705 is 1

2. Where do I get the detailed procedure to find GCD of 413, 559, 28, 705?

You can find a detailed procedure to find GCD of 413, 559, 28, 705 on our page.

3. How to find GCD of 413, 559, 28, 705 on a calculator?

You can find the GCD of 413, 559, 28, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.