GCD of 191, 238, 90, 407 Calculator

Given Input numbers are 191, 238, 90, 407

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 191, 238, 90, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 238, 90, 407 is 1.

Therefore, GCD of numbers 191, 238, 90, 407 is 1

Given Input Data is 191, 238, 90, 407

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

Prime Factorization of 191 is 191

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 407 is 11 x 37

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, 238) = 45458

GCD(191, 238) = ( 191 x 238 ) / 45458

GCD(191, 238) = 45458 / 45458

GCD(191, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 191, 238, 90, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 820, 99, 301
• GCD of 922, 887, 18, 141
• GCD of 625, 468, 61, 512
• GCD of 953, 264, 43, 151
• GCD of 459, 592, 67, 992

1. What is the GCD of 191, 238, 90, 407?

GCD of 191, 238, 90, 407 is 1

2. Where do I get the detailed procedure to find GCD of 191, 238, 90, 407?

You can find a detailed procedure to find GCD of 191, 238, 90, 407 on our page.

3. How to find GCD of 191, 238, 90, 407 on a calculator?

You can find the GCD of 191, 238, 90, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.