GCD of 342, 622, 346 Calculator

Given Input numbers are 342, 622, 346

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 342, 622, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 622, 346 is 2.

Therefore, GCD of numbers 342, 622, 346 is 2

Given Input Data is 342, 622, 346

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 622 is 2 x 311

Prime Factorization of 346 is 2 x 173

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, 622) = 106362

GCD(342, 622) = ( 342 x 622 ) / 106362

GCD(342, 622) = 212724 / 106362

GCD(342, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

GCD of 342, 622, 346 is 2

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1. What is the GCD of 342, 622, 346?

GCD of 342, 622, 346 is 2

2. Where do I get the detailed procedure to find GCD of 342, 622, 346?

You can find a detailed procedure to find GCD of 342, 622, 346 on our page.

3. How to find GCD of 342, 622, 346 on a calculator?

You can find the GCD of 342, 622, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.