GCD of 592, 908, 162 Calculator

Given Input numbers are 592, 908, 162

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 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 592, 908, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 908, 162 is 2.

Therefore, GCD of numbers 592, 908, 162 is 2

Given Input Data is 592, 908, 162

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 908 is 2 x 2 x 227

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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, 908) = 134384

GCD(592, 908) = ( 592 x 908 ) / 134384

GCD(592, 908) = 537536 / 134384

GCD(592, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 162

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

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

GCD(4, 162) = 648 / 324

GCD(4, 162) = 2

GCD of 592, 908, 162 is 2

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1. What is the GCD of 592, 908, 162?

GCD of 592, 908, 162 is 2

2. Where do I get the detailed procedure to find GCD of 592, 908, 162?

You can find a detailed procedure to find GCD of 592, 908, 162 on our page.

3. How to find GCD of 592, 908, 162 on a calculator?

You can find the GCD of 592, 908, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.