GCD of 21, 627, 310, 824 Calculator

Given Input numbers are 21, 627, 310, 824

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 21, 627, 310, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 627, 310, 824 is 1.

Therefore, GCD of numbers 21, 627, 310, 824 is 1

Given Input Data is 21, 627, 310, 824

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(21, 627) = 4389

GCD(21, 627) = ( 21 x 627 ) / 4389

GCD(21, 627) = 13167 / 4389

GCD(21, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 310

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

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

GCD(3, 310) = 930 / 930

GCD(3, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 21, 627, 310, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 454, 562, 213
• GCD of 83, 161, 828, 706
• GCD of 55, 916, 708, 179
• GCD of 26, 613, 185, 397
• GCD of 40, 570, 341, 711

1. What is the GCD of 21, 627, 310, 824?

GCD of 21, 627, 310, 824 is 1

2. Where do I get the detailed procedure to find GCD of 21, 627, 310, 824?

You can find a detailed procedure to find GCD of 21, 627, 310, 824 on our page.

3. How to find GCD of 21, 627, 310, 824 on a calculator?

You can find the GCD of 21, 627, 310, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.