GCD of 827, 396, 21, 744 Calculator

Given Input numbers are 827, 396, 21, 744

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 21

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

1, 3, 7, 21

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 827, 396, 21, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 396, 21, 744 is 1.

Therefore, GCD of numbers 827, 396, 21, 744 is 1

Given Input Data is 827, 396, 21, 744

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

Prime Factorization of 827 is 827

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(827, 396) = 327492

GCD(827, 396) = ( 827 x 396 ) / 327492

GCD(827, 396) = 327492 / 327492

GCD(827, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 827, 396, 21, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 246, 70, 941
• GCD of 133, 818, 46, 433
• GCD of 211, 447, 75, 272
• GCD of 615, 538, 13, 918
• GCD of 271, 214, 19, 184

1. What is the GCD of 827, 396, 21, 744?

GCD of 827, 396, 21, 744 is 1

2. Where do I get the detailed procedure to find GCD of 827, 396, 21, 744?

You can find a detailed procedure to find GCD of 827, 396, 21, 744 on our page.

3. How to find GCD of 827, 396, 21, 744 on a calculator?

You can find the GCD of 827, 396, 21, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.