GCD of 582, 708, 18, 688 Calculator

Given Input numbers are 582, 708, 18, 688

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 582, 708, 18, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 708, 18, 688 is 2.

Therefore, GCD of numbers 582, 708, 18, 688 is 2

Given Input Data is 582, 708, 18, 688

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(582, 708) = 68676

GCD(582, 708) = ( 582 x 708 ) / 68676

GCD(582, 708) = 412056 / 68676

GCD(582, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 18

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

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

GCD(6, 18) = 108 / 18

GCD(6, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 688

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

LCM(6, 688) = 2064

GCD(6, 688) = ( 6 x 688 ) / 2064

GCD(6, 688) = 4128 / 2064

GCD(6, 688) = 2

GCD of 582, 708, 18, 688 is 2

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1. What is the GCD of 582, 708, 18, 688?

GCD of 582, 708, 18, 688 is 2

2. Where do I get the detailed procedure to find GCD of 582, 708, 18, 688?

You can find a detailed procedure to find GCD of 582, 708, 18, 688 on our page.

3. How to find GCD of 582, 708, 18, 688 on a calculator?

You can find the GCD of 582, 708, 18, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.