GCD of 414, 215, 21 Calculator

Given Input numbers are 414, 215, 21

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 414, 215, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 215, 21 is 1.

Therefore, GCD of numbers 414, 215, 21 is 1

Given Input Data is 414, 215, 21

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 215 is 5 x 43

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(414, 215) = 89010

GCD(414, 215) = ( 414 x 215 ) / 89010

GCD(414, 215) = 89010 / 89010

GCD(414, 215) = 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 414, 215, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 431, 14
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• GCD of 926, 663, 65
• GCD of 452, 166, 17

1. What is the GCD of 414, 215, 21?

GCD of 414, 215, 21 is 1

2. Where do I get the detailed procedure to find GCD of 414, 215, 21?

You can find a detailed procedure to find GCD of 414, 215, 21 on our page.

3. How to find GCD of 414, 215, 21 on a calculator?

You can find the GCD of 414, 215, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.