GCD of 113, 806, 422, 659 Calculator

Given Input numbers are 113, 806, 422, 659

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 113, 806, 422, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 806, 422, 659 is 1.

Therefore, GCD of numbers 113, 806, 422, 659 is 1

Given Input Data is 113, 806, 422, 659

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

Prime Factorization of 113 is 113

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 422 is 2 x 211

Prime Factorization of 659 is 659

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(113, 806) = 91078

GCD(113, 806) = ( 113 x 806 ) / 91078

GCD(113, 806) = 91078 / 91078

GCD(113, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 113, 806, 422, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 907, 272, 648
• GCD of 123, 301, 539, 600
• GCD of 703, 858, 993, 102
• GCD of 800, 276, 458, 881
• GCD of 674, 457, 887, 233

1. What is the GCD of 113, 806, 422, 659?

GCD of 113, 806, 422, 659 is 1

2. Where do I get the detailed procedure to find GCD of 113, 806, 422, 659?

You can find a detailed procedure to find GCD of 113, 806, 422, 659 on our page.

3. How to find GCD of 113, 806, 422, 659 on a calculator?

You can find the GCD of 113, 806, 422, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.