GCD of 667, 442, 21 Calculator

Given Input numbers are 667, 442, 21

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 21

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

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 667, 442, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 442, 21 is 1.

Therefore, GCD of numbers 667, 442, 21 is 1

Given Input Data is 667, 442, 21

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 21 is 3 x 7

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(667, 442) = 294814

GCD(667, 442) = ( 667 x 442 ) / 294814

GCD(667, 442) = 294814 / 294814

GCD(667, 442) = 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

GCD of 667, 442, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 703, 24
• GCD of 418, 927, 32
• GCD of 563, 924, 46
• GCD of 436, 409, 41
• GCD of 393, 564, 20

1. What is the GCD of 667, 442, 21?

GCD of 667, 442, 21 is 1

2. Where do I get the detailed procedure to find GCD of 667, 442, 21?

You can find a detailed procedure to find GCD of 667, 442, 21 on our page.

3. How to find GCD of 667, 442, 21 on a calculator?

You can find the GCD of 667, 442, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.