GCD of 31, 996, 408, 733 Calculator

Given Input numbers are 31, 996, 408, 733

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 31, 996, 408, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 996, 408, 733 is 1.

Therefore, GCD of numbers 31, 996, 408, 733 is 1

Given Input Data is 31, 996, 408, 733

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

Prime Factorization of 31 is 31

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 733 is 733

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, 996) = 30876

GCD(31, 996) = ( 31 x 996 ) / 30876

GCD(31, 996) = 30876 / 30876

GCD(31, 996) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 31, 996, 408, 733 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 956, 166, 208
• GCD of 66, 728, 287, 434
• GCD of 51, 861, 791, 984
• GCD of 56, 934, 159, 433
• GCD of 31, 230, 588, 517

1. What is the GCD of 31, 996, 408, 733?

GCD of 31, 996, 408, 733 is 1

2. Where do I get the detailed procedure to find GCD of 31, 996, 408, 733?

You can find a detailed procedure to find GCD of 31, 996, 408, 733 on our page.

3. How to find GCD of 31, 996, 408, 733 on a calculator?

You can find the GCD of 31, 996, 408, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.