GCD of 478, 578, 817, 590 Calculator

Given Input numbers are 478, 578, 817, 590

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 478, 578, 817, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 578, 817, 590 is 1.

Therefore, GCD of numbers 478, 578, 817, 590 is 1

Given Input Data is 478, 578, 817, 590

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 817 is 19 x 43

Prime Factorization of 590 is 2 x 5 x 59

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(478, 578) = 138142

GCD(478, 578) = ( 478 x 578 ) / 138142

GCD(478, 578) = 276284 / 138142

GCD(478, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 478, 578, 817, 590 is 1

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1. What is the GCD of 478, 578, 817, 590?

GCD of 478, 578, 817, 590 is 1

2. Where do I get the detailed procedure to find GCD of 478, 578, 817, 590?

You can find a detailed procedure to find GCD of 478, 578, 817, 590 on our page.

3. How to find GCD of 478, 578, 817, 590 on a calculator?

You can find the GCD of 478, 578, 817, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.