GCD of 514, 578, 997, 817 Calculator

Given Input numbers are 514, 578, 997, 817

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 817

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

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 514, 578, 997, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 578, 997, 817 is 1.

Therefore, GCD of numbers 514, 578, 997, 817 is 1

Given Input Data is 514, 578, 997, 817

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 997 is 997

Prime Factorization of 817 is 19 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(514, 578) = 148546

GCD(514, 578) = ( 514 x 578 ) / 148546

GCD(514, 578) = 297092 / 148546

GCD(514, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 514, 578, 997, 817 is 1

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1. What is the GCD of 514, 578, 997, 817?

GCD of 514, 578, 997, 817 is 1

2. Where do I get the detailed procedure to find GCD of 514, 578, 997, 817?

You can find a detailed procedure to find GCD of 514, 578, 997, 817 on our page.

3. How to find GCD of 514, 578, 997, 817 on a calculator?

You can find the GCD of 514, 578, 997, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.