GCD of 414, 372, 217 Calculator

Given Input numbers are 414, 372, 217

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 414, 372, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 372, 217 is 1.

Therefore, GCD of numbers 414, 372, 217 is 1

Given Input Data is 414, 372, 217

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 217 is 7 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(414, 372) = 25668

GCD(414, 372) = ( 414 x 372 ) / 25668

GCD(414, 372) = 154008 / 25668

GCD(414, 372) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 217

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

LCM(6, 217) = 1302

GCD(6, 217) = ( 6 x 217 ) / 1302

GCD(6, 217) = 1302 / 1302

GCD(6, 217) = 1

GCD of 414, 372, 217 is 1

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1. What is the GCD of 414, 372, 217?

GCD of 414, 372, 217 is 1

2. Where do I get the detailed procedure to find GCD of 414, 372, 217?

You can find a detailed procedure to find GCD of 414, 372, 217 on our page.

3. How to find GCD of 414, 372, 217 on a calculator?

You can find the GCD of 414, 372, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.