GCD of 71, 214, 406, 856 Calculator

Given Input numbers are 71, 214, 406, 856

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 71, 214, 406, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 214, 406, 856 is 1.

Therefore, GCD of numbers 71, 214, 406, 856 is 1

Given Input Data is 71, 214, 406, 856

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

Prime Factorization of 71 is 71

Prime Factorization of 214 is 2 x 107

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(71, 214) = 15194

GCD(71, 214) = ( 71 x 214 ) / 15194

GCD(71, 214) = 15194 / 15194

GCD(71, 214) = 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 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 71, 214, 406, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 364, 244, 538
• GCD of 96, 379, 821, 515
• GCD of 39, 909, 933, 826
• GCD of 42, 355, 581, 914
• GCD of 43, 379, 436, 107

1. What is the GCD of 71, 214, 406, 856?

GCD of 71, 214, 406, 856 is 1

2. Where do I get the detailed procedure to find GCD of 71, 214, 406, 856?

You can find a detailed procedure to find GCD of 71, 214, 406, 856 on our page.

3. How to find GCD of 71, 214, 406, 856 on a calculator?

You can find the GCD of 71, 214, 406, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.