GCD of 685, 411, 31, 856 Calculator

Given Input numbers are 685, 411, 31, 856

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 685, 411, 31, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 411, 31, 856 is 1.

Therefore, GCD of numbers 685, 411, 31, 856 is 1

Given Input Data is 685, 411, 31, 856

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 411 is 3 x 137

Prime Factorization of 31 is 31

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(685, 411) = 2055

GCD(685, 411) = ( 685 x 411 ) / 2055

GCD(685, 411) = 281535 / 2055

GCD(685, 411) = 137

Step2:

Here we consider the GCD from the above i.e. 137 as first number and the next as 31

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

LCM(137, 31) = 4247

GCD(137, 31) = ( 137 x 31 ) / 4247

GCD(137, 31) = 4247 / 4247

GCD(137, 31) = 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 685, 411, 31, 856 is 1

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1. What is the GCD of 685, 411, 31, 856?

GCD of 685, 411, 31, 856 is 1

2. Where do I get the detailed procedure to find GCD of 685, 411, 31, 856?

You can find a detailed procedure to find GCD of 685, 411, 31, 856 on our page.

3. How to find GCD of 685, 411, 31, 856 on a calculator?

You can find the GCD of 685, 411, 31, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.