GCD of 336, 590, 824, 342 Calculator

Given Input numbers are 336, 590, 824, 342

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 336, 590, 824, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 590, 824, 342 is 2.

Therefore, GCD of numbers 336, 590, 824, 342 is 2

Given Input Data is 336, 590, 824, 342

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(336, 590) = 99120

GCD(336, 590) = ( 336 x 590 ) / 99120

GCD(336, 590) = 198240 / 99120

GCD(336, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 336, 590, 824, 342 is 2

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1. What is the GCD of 336, 590, 824, 342?

GCD of 336, 590, 824, 342 is 2

2. Where do I get the detailed procedure to find GCD of 336, 590, 824, 342?

You can find a detailed procedure to find GCD of 336, 590, 824, 342 on our page.

3. How to find GCD of 336, 590, 824, 342 on a calculator?

You can find the GCD of 336, 590, 824, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.