GCD of 884, 308, 598, 682 Calculator

Given Input numbers are 884, 308, 598, 682

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

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 884, 308, 598, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 308, 598, 682 is 2.

Therefore, GCD of numbers 884, 308, 598, 682 is 2

Given Input Data is 884, 308, 598, 682

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 682 is 2 x 11 x 31

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(884, 308) = 68068

GCD(884, 308) = ( 884 x 308 ) / 68068

GCD(884, 308) = 272272 / 68068

GCD(884, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 598

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

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

GCD(4, 598) = 2392 / 1196

GCD(4, 598) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 884, 308, 598, 682 is 2

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1. What is the GCD of 884, 308, 598, 682?

GCD of 884, 308, 598, 682 is 2

2. Where do I get the detailed procedure to find GCD of 884, 308, 598, 682?

You can find a detailed procedure to find GCD of 884, 308, 598, 682 on our page.

3. How to find GCD of 884, 308, 598, 682 on a calculator?

You can find the GCD of 884, 308, 598, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.