GCD of 588, 498, 78, 817 Calculator

Given Input numbers are 588, 498, 78, 817

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 588, 498, 78, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 498, 78, 817 is 1.

Therefore, GCD of numbers 588, 498, 78, 817 is 1

Given Input Data is 588, 498, 78, 817

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 78 is 2 x 3 x 13

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(588, 498) = 48804

GCD(588, 498) = ( 588 x 498 ) / 48804

GCD(588, 498) = 292824 / 48804

GCD(588, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 78

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

LCM(6, 78) = 78

GCD(6, 78) = ( 6 x 78 ) / 78

GCD(6, 78) = 468 / 78

GCD(6, 78) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 817

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

LCM(6, 817) = 4902

GCD(6, 817) = ( 6 x 817 ) / 4902

GCD(6, 817) = 4902 / 4902

GCD(6, 817) = 1

GCD of 588, 498, 78, 817 is 1

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• GCD of 131, 312, 21, 205
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1. What is the GCD of 588, 498, 78, 817?

GCD of 588, 498, 78, 817 is 1

2. Where do I get the detailed procedure to find GCD of 588, 498, 78, 817?

You can find a detailed procedure to find GCD of 588, 498, 78, 817 on our page.

3. How to find GCD of 588, 498, 78, 817 on a calculator?

You can find the GCD of 588, 498, 78, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.