GCD of 346, 196, 522, 163 Calculator

Given Input numbers are 346, 196, 522, 163

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 346, 196, 522, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 196, 522, 163 is 1.

Therefore, GCD of numbers 346, 196, 522, 163 is 1

Given Input Data is 346, 196, 522, 163

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 163 is 163

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, 196) = 33908

GCD(346, 196) = ( 346 x 196 ) / 33908

GCD(346, 196) = 67816 / 33908

GCD(346, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

GCD of 346, 196, 522, 163 is 1

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1. What is the GCD of 346, 196, 522, 163?

GCD of 346, 196, 522, 163 is 1

2. Where do I get the detailed procedure to find GCD of 346, 196, 522, 163?

You can find a detailed procedure to find GCD of 346, 196, 522, 163 on our page.

3. How to find GCD of 346, 196, 522, 163 on a calculator?

You can find the GCD of 346, 196, 522, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.