GCD of 242, 172, 389, 195 Calculator

Given Input numbers are 242, 172, 389, 195

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 242, 172, 389, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 172, 389, 195 is 1.

Therefore, GCD of numbers 242, 172, 389, 195 is 1

Given Input Data is 242, 172, 389, 195

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 389 is 389

Prime Factorization of 195 is 3 x 5 x 13

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(242, 172) = 20812

GCD(242, 172) = ( 242 x 172 ) / 20812

GCD(242, 172) = 41624 / 20812

GCD(242, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 389

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

LCM(2, 389) = 778

GCD(2, 389) = ( 2 x 389 ) / 778

GCD(2, 389) = 778 / 778

GCD(2, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 242, 172, 389, 195 is 1

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1. What is the GCD of 242, 172, 389, 195?

GCD of 242, 172, 389, 195 is 1

2. Where do I get the detailed procedure to find GCD of 242, 172, 389, 195?

You can find a detailed procedure to find GCD of 242, 172, 389, 195 on our page.

3. How to find GCD of 242, 172, 389, 195 on a calculator?

You can find the GCD of 242, 172, 389, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.