GCD of 50, 391, 406, 355 Calculator

Given Input numbers are 50, 391, 406, 355

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 50, 391, 406, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 391, 406, 355 is 1.

Therefore, GCD of numbers 50, 391, 406, 355 is 1

Given Input Data is 50, 391, 406, 355

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 391 is 17 x 23

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 355 is 5 x 71

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(50, 391) = 19550

GCD(50, 391) = ( 50 x 391 ) / 19550

GCD(50, 391) = 19550 / 19550

GCD(50, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 50, 391, 406, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 687, 578, 911
• GCD of 30, 141, 550, 155
• GCD of 86, 793, 705, 274
• GCD of 77, 767, 652, 775
• GCD of 27, 708, 705, 661

1. What is the GCD of 50, 391, 406, 355?

GCD of 50, 391, 406, 355 is 1

2. Where do I get the detailed procedure to find GCD of 50, 391, 406, 355?

You can find a detailed procedure to find GCD of 50, 391, 406, 355 on our page.

3. How to find GCD of 50, 391, 406, 355 on a calculator?

You can find the GCD of 50, 391, 406, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.