GCD of 582, 714, 56, 508 Calculator

Given Input numbers are 582, 714, 56, 508

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 582, 714, 56, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 714, 56, 508 is 2.

Therefore, GCD of numbers 582, 714, 56, 508 is 2

Given Input Data is 582, 714, 56, 508

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 714 is 2 x 3 x 7 x 17

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 508 is 2 x 2 x 127

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, 714) = 69258

GCD(582, 714) = ( 582 x 714 ) / 69258

GCD(582, 714) = 415548 / 69258

GCD(582, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 56

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

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

GCD(6, 56) = 336 / 168

GCD(6, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 582, 714, 56, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 712, 37, 412
• GCD of 315, 606, 35, 666
• GCD of 461, 614, 31, 419
• GCD of 772, 170, 34, 746
• GCD of 867, 423, 88, 385

1. What is the GCD of 582, 714, 56, 508?

GCD of 582, 714, 56, 508 is 2

2. Where do I get the detailed procedure to find GCD of 582, 714, 56, 508?

You can find a detailed procedure to find GCD of 582, 714, 56, 508 on our page.

3. How to find GCD of 582, 714, 56, 508 on a calculator?

You can find the GCD of 582, 714, 56, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.