GCD of 592, 164, 878, 382 Calculator

Given Input numbers are 592, 164, 878, 382

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 592, 164, 878, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 164, 878, 382 is 2.

Therefore, GCD of numbers 592, 164, 878, 382 is 2

Given Input Data is 592, 164, 878, 382

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 164 is 2 x 2 x 41

Prime Factorization of 878 is 2 x 439

Prime Factorization of 382 is 2 x 191

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, 164) = 24272

GCD(592, 164) = ( 592 x 164 ) / 24272

GCD(592, 164) = 97088 / 24272

GCD(592, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 878

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

LCM(4, 878) = 1756

GCD(4, 878) = ( 4 x 878 ) / 1756

GCD(4, 878) = 3512 / 1756

GCD(4, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 592, 164, 878, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 582, 382, 733
• GCD of 202, 816, 736, 991
• GCD of 310, 469, 159, 203
• GCD of 738, 578, 630, 265
• GCD of 144, 233, 721, 816

1. What is the GCD of 592, 164, 878, 382?

GCD of 592, 164, 878, 382 is 2

2. Where do I get the detailed procedure to find GCD of 592, 164, 878, 382?

You can find a detailed procedure to find GCD of 592, 164, 878, 382 on our page.

3. How to find GCD of 592, 164, 878, 382 on a calculator?

You can find the GCD of 592, 164, 878, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.