GCD of 336, 884, 32, 698 Calculator

Given Input numbers are 336, 884, 32, 698

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 336, 884, 32, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 884, 32, 698 is 2.

Therefore, GCD of numbers 336, 884, 32, 698 is 2

Given Input Data is 336, 884, 32, 698

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 884 is 2 x 2 x 13 x 17

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 698 is 2 x 349

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, 884) = 74256

GCD(336, 884) = ( 336 x 884 ) / 74256

GCD(336, 884) = 297024 / 74256

GCD(336, 884) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 698

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

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

GCD(4, 698) = 2792 / 1396

GCD(4, 698) = 2

GCD of 336, 884, 32, 698 is 2

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1. What is the GCD of 336, 884, 32, 698?

GCD of 336, 884, 32, 698 is 2

2. Where do I get the detailed procedure to find GCD of 336, 884, 32, 698?

You can find a detailed procedure to find GCD of 336, 884, 32, 698 on our page.

3. How to find GCD of 336, 884, 32, 698 on a calculator?

You can find the GCD of 336, 884, 32, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.