GCD of 682, 238, 42 Calculator

Given Input numbers are 682, 238, 42

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 682, 238, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 238, 42 is 2.

Therefore, GCD of numbers 682, 238, 42 is 2

Given Input Data is 682, 238, 42

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 238 is 2 x 7 x 17

Prime Factorization of 42 is 2 x 3 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, 238) = 81158

GCD(682, 238) = ( 682 x 238 ) / 81158

GCD(682, 238) = 162316 / 81158

GCD(682, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

GCD of 682, 238, 42 is 2

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1. What is the GCD of 682, 238, 42?

GCD of 682, 238, 42 is 2

2. Where do I get the detailed procedure to find GCD of 682, 238, 42?

You can find a detailed procedure to find GCD of 682, 238, 42 on our page.

3. How to find GCD of 682, 238, 42 on a calculator?

You can find the GCD of 682, 238, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.