GCD of 855, 697, 106, 313 Calculator

Given Input numbers are 855, 697, 106, 313

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 855, 697, 106, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 697, 106, 313 is 1.

Therefore, GCD of numbers 855, 697, 106, 313 is 1

Given Input Data is 855, 697, 106, 313

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 697 is 17 x 41

Prime Factorization of 106 is 2 x 53

Prime Factorization of 313 is 313

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(855, 697) = 595935

GCD(855, 697) = ( 855 x 697 ) / 595935

GCD(855, 697) = 595935 / 595935

GCD(855, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 855, 697, 106, 313 is 1

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1. What is the GCD of 855, 697, 106, 313?

GCD of 855, 697, 106, 313 is 1

2. Where do I get the detailed procedure to find GCD of 855, 697, 106, 313?

You can find a detailed procedure to find GCD of 855, 697, 106, 313 on our page.

3. How to find GCD of 855, 697, 106, 313 on a calculator?

You can find the GCD of 855, 697, 106, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.