GCD of 588, 168, 446, 332 Calculator

Given Input numbers are 588, 168, 446, 332

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 588, 168, 446, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 168, 446, 332 is 2.

Therefore, GCD of numbers 588, 168, 446, 332 is 2

Given Input Data is 588, 168, 446, 332

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 446 is 2 x 223

Prime Factorization of 332 is 2 x 2 x 83

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, 168) = 1176

GCD(588, 168) = ( 588 x 168 ) / 1176

GCD(588, 168) = 98784 / 1176

GCD(588, 168) = 84

Step2:

Here we consider the GCD from the above i.e. 84 as first number and the next as 446

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

LCM(84, 446) = 18732

GCD(84, 446) = ( 84 x 446 ) / 18732

GCD(84, 446) = 37464 / 18732

GCD(84, 446) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 332

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

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

GCD(2, 332) = 664 / 332

GCD(2, 332) = 2

GCD of 588, 168, 446, 332 is 2

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1. What is the GCD of 588, 168, 446, 332?

GCD of 588, 168, 446, 332 is 2

2. Where do I get the detailed procedure to find GCD of 588, 168, 446, 332?

You can find a detailed procedure to find GCD of 588, 168, 446, 332 on our page.

3. How to find GCD of 588, 168, 446, 332 on a calculator?

You can find the GCD of 588, 168, 446, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.