GCD of 191, 170, 440, 438 Calculator

Given Input numbers are 191, 170, 440, 438

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 191, 170, 440, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 170, 440, 438 is 1.

Therefore, GCD of numbers 191, 170, 440, 438 is 1

Given Input Data is 191, 170, 440, 438

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

Prime Factorization of 191 is 191

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 438 is 2 x 3 x 73

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(191, 170) = 32470

GCD(191, 170) = ( 191 x 170 ) / 32470

GCD(191, 170) = 32470 / 32470

GCD(191, 170) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 191, 170, 440, 438 is 1

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1. What is the GCD of 191, 170, 440, 438?

GCD of 191, 170, 440, 438 is 1

2. Where do I get the detailed procedure to find GCD of 191, 170, 440, 438?

You can find a detailed procedure to find GCD of 191, 170, 440, 438 on our page.

3. How to find GCD of 191, 170, 440, 438 on a calculator?

You can find the GCD of 191, 170, 440, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.