GCD of 592, 308, 266, 582 Calculator

Given Input numbers are 592, 308, 266, 582

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 582

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

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

Greatest Common Divisior

We found the divisors of 592, 308, 266, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 308, 266, 582 is 2.

Therefore, GCD of numbers 592, 308, 266, 582 is 2

Given Input Data is 592, 308, 266, 582

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 582 is 2 x 3 x 97

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(592, 308) = 45584

GCD(592, 308) = ( 592 x 308 ) / 45584

GCD(592, 308) = 182336 / 45584

GCD(592, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 266

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

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

GCD(4, 266) = 1064 / 532

GCD(4, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 582

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

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

GCD(2, 582) = 1164 / 582

GCD(2, 582) = 2

GCD of 592, 308, 266, 582 is 2

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1. What is the GCD of 592, 308, 266, 582?

GCD of 592, 308, 266, 582 is 2

2. Where do I get the detailed procedure to find GCD of 592, 308, 266, 582?

You can find a detailed procedure to find GCD of 592, 308, 266, 582 on our page.

3. How to find GCD of 592, 308, 266, 582 on a calculator?

You can find the GCD of 592, 308, 266, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.