GCD of 403, 961, 31, 112 Calculator

Given Input numbers are 403, 961, 31, 112

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

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 31

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

1, 31

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 403, 961, 31, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 961, 31, 112 is 1.

Therefore, GCD of numbers 403, 961, 31, 112 is 1

Given Input Data is 403, 961, 31, 112

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 961 is 31 x 31

Prime Factorization of 31 is 31

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(403, 961) = 12493

GCD(403, 961) = ( 403 x 961 ) / 12493

GCD(403, 961) = 387283 / 12493

GCD(403, 961) = 31

Step2:

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

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

LCM(31, 31) = 31

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

GCD(31, 31) = 961 / 31

GCD(31, 31) = 31

Step3:

Here we consider the GCD from the above i.e. 31 as first number and the next as 112

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

LCM(31, 112) = 3472

GCD(31, 112) = ( 31 x 112 ) / 3472

GCD(31, 112) = 3472 / 3472

GCD(31, 112) = 1

GCD of 403, 961, 31, 112 is 1

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1. What is the GCD of 403, 961, 31, 112?

GCD of 403, 961, 31, 112 is 1

2. Where do I get the detailed procedure to find GCD of 403, 961, 31, 112?

You can find a detailed procedure to find GCD of 403, 961, 31, 112 on our page.

3. How to find GCD of 403, 961, 31, 112 on a calculator?

You can find the GCD of 403, 961, 31, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.