GCD of 21, 612, 224, 312 Calculator

Given Input numbers are 21, 612, 224, 312

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 21, 612, 224, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 612, 224, 312 is 1.

Therefore, GCD of numbers 21, 612, 224, 312 is 1

Given Input Data is 21, 612, 224, 312

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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, 612) = 4284

GCD(21, 612) = ( 21 x 612 ) / 4284

GCD(21, 612) = 12852 / 4284

GCD(21, 612) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 224

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

LCM(3, 224) = 672

GCD(3, 224) = ( 3 x 224 ) / 672

GCD(3, 224) = 672 / 672

GCD(3, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 21, 612, 224, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 211, 946, 370
• GCD of 52, 387, 611, 884
• GCD of 79, 668, 978, 216
• GCD of 78, 355, 865, 181
• GCD of 17, 795, 105, 737

1. What is the GCD of 21, 612, 224, 312?

GCD of 21, 612, 224, 312 is 1

2. Where do I get the detailed procedure to find GCD of 21, 612, 224, 312?

You can find a detailed procedure to find GCD of 21, 612, 224, 312 on our page.

3. How to find GCD of 21, 612, 224, 312 on a calculator?

You can find the GCD of 21, 612, 224, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.