GCD of 31, 416, 773, 473 Calculator

Given Input numbers are 31, 416, 773, 473

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

Divisors of 31

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

1, 31

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 31, 416, 773, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 416, 773, 473 is 1.

Therefore, GCD of numbers 31, 416, 773, 473 is 1

Given Input Data is 31, 416, 773, 473

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

Prime Factorization of 31 is 31

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 773 is 773

Prime Factorization of 473 is 11 x 43

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(31, 416) = 12896

GCD(31, 416) = ( 31 x 416 ) / 12896

GCD(31, 416) = 12896 / 12896

GCD(31, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 31, 416, 773, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 275, 776, 144
• GCD of 16, 242, 861, 980
• GCD of 34, 910, 379, 766
• GCD of 29, 434, 510, 458
• GCD of 11, 221, 282, 320

1. What is the GCD of 31, 416, 773, 473?

GCD of 31, 416, 773, 473 is 1

2. Where do I get the detailed procedure to find GCD of 31, 416, 773, 473?

You can find a detailed procedure to find GCD of 31, 416, 773, 473 on our page.

3. How to find GCD of 31, 416, 773, 473 on a calculator?

You can find the GCD of 31, 416, 773, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.