GCD of 588, 238, 82, 514 Calculator

Given Input numbers are 588, 238, 82, 514

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 514

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

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 588, 238, 82, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 238, 82, 514 is 2.

Therefore, GCD of numbers 588, 238, 82, 514 is 2

Given Input Data is 588, 238, 82, 514

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 238 is 2 x 7 x 17

Prime Factorization of 82 is 2 x 41

Prime Factorization of 514 is 2 x 257

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(588, 238) = 9996

GCD(588, 238) = ( 588 x 238 ) / 9996

GCD(588, 238) = 139944 / 9996

GCD(588, 238) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 82

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

LCM(14, 82) = 574

GCD(14, 82) = ( 14 x 82 ) / 574

GCD(14, 82) = 1148 / 574

GCD(14, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

GCD of 588, 238, 82, 514 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 954, 13, 235
• GCD of 444, 918, 38, 103
• GCD of 151, 861, 64, 624
• GCD of 258, 164, 26, 291
• GCD of 457, 298, 12, 957

1. What is the GCD of 588, 238, 82, 514?

GCD of 588, 238, 82, 514 is 2

2. Where do I get the detailed procedure to find GCD of 588, 238, 82, 514?

You can find a detailed procedure to find GCD of 588, 238, 82, 514 on our page.

3. How to find GCD of 588, 238, 82, 514 on a calculator?

You can find the GCD of 588, 238, 82, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.