GCD of 682, 538, 838, 392 Calculator

Given Input numbers are 682, 538, 838, 392

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

Divisors of 682

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

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 682, 538, 838, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 538, 838, 392 is 2.

Therefore, GCD of numbers 682, 538, 838, 392 is 2

Given Input Data is 682, 538, 838, 392

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 538 is 2 x 269

Prime Factorization of 838 is 2 x 419

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(682, 538) = 183458

GCD(682, 538) = ( 682 x 538 ) / 183458

GCD(682, 538) = 366916 / 183458

GCD(682, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 682, 538, 838, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 520, 451, 898
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• GCD of 505, 360, 576, 499

1. What is the GCD of 682, 538, 838, 392?

GCD of 682, 538, 838, 392 is 2

2. Where do I get the detailed procedure to find GCD of 682, 538, 838, 392?

You can find a detailed procedure to find GCD of 682, 538, 838, 392 on our page.

3. How to find GCD of 682, 538, 838, 392 on a calculator?

You can find the GCD of 682, 538, 838, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.