GCD of 346, 214, 22, 423 Calculator

Given Input numbers are 346, 214, 22, 423

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

Divisors of 346

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

1, 2, 173, 346

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 346, 214, 22, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 214, 22, 423 is 1.

Therefore, GCD of numbers 346, 214, 22, 423 is 1

Given Input Data is 346, 214, 22, 423

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 214 is 2 x 107

Prime Factorization of 22 is 2 x 11

Prime Factorization of 423 is 3 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(346, 214) = 37022

GCD(346, 214) = ( 346 x 214 ) / 37022

GCD(346, 214) = 74044 / 37022

GCD(346, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 346, 214, 22, 423 is 1

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1. What is the GCD of 346, 214, 22, 423?

GCD of 346, 214, 22, 423 is 1

2. Where do I get the detailed procedure to find GCD of 346, 214, 22, 423?

You can find a detailed procedure to find GCD of 346, 214, 22, 423 on our page.

3. How to find GCD of 346, 214, 22, 423 on a calculator?

You can find the GCD of 346, 214, 22, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.