GCD of 342, 712, 398 Calculator

Given Input numbers are 342, 712, 398

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

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 342, 712, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 712, 398 is 2.

Therefore, GCD of numbers 342, 712, 398 is 2

Given Input Data is 342, 712, 398

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

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 398 is 2 x 199

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(342, 712) = 121752

GCD(342, 712) = ( 342 x 712 ) / 121752

GCD(342, 712) = 243504 / 121752

GCD(342, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 342, 712, 398 is 2

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1. What is the GCD of 342, 712, 398?

GCD of 342, 712, 398 is 2

2. Where do I get the detailed procedure to find GCD of 342, 712, 398?

You can find a detailed procedure to find GCD of 342, 712, 398 on our page.

3. How to find GCD of 342, 712, 398 on a calculator?

You can find the GCD of 342, 712, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.