GCD of 31, 862, 999, 921 Calculator

Given Input numbers are 31, 862, 999, 921

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 31, 862, 999, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 862, 999, 921 is 1.

Therefore, GCD of numbers 31, 862, 999, 921 is 1

Given Input Data is 31, 862, 999, 921

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

Prime Factorization of 31 is 31

Prime Factorization of 862 is 2 x 431

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 921 is 3 x 307

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, 862) = 26722

GCD(31, 862) = ( 31 x 862 ) / 26722

GCD(31, 862) = 26722 / 26722

GCD(31, 862) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 31, 862, 999, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 585, 975, 208
• GCD of 17, 516, 668, 208
• GCD of 88, 294, 384, 488
• GCD of 89, 463, 873, 567
• GCD of 15, 354, 431, 570

1. What is the GCD of 31, 862, 999, 921?

GCD of 31, 862, 999, 921 is 1

2. Where do I get the detailed procedure to find GCD of 31, 862, 999, 921?

You can find a detailed procedure to find GCD of 31, 862, 999, 921 on our page.

3. How to find GCD of 31, 862, 999, 921 on a calculator?

You can find the GCD of 31, 862, 999, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.