GCD of 414, 270, 445 Calculator

Given Input numbers are 414, 270, 445

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 414, 270, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 270, 445 is 1.

Therefore, GCD of numbers 414, 270, 445 is 1

Given Input Data is 414, 270, 445

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 445 is 5 x 89

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, 270) = 6210

GCD(414, 270) = ( 414 x 270 ) / 6210

GCD(414, 270) = 111780 / 6210

GCD(414, 270) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 445

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

LCM(18, 445) = 8010

GCD(18, 445) = ( 18 x 445 ) / 8010

GCD(18, 445) = 8010 / 8010

GCD(18, 445) = 1

GCD of 414, 270, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 323, 813
• GCD of 234, 246, 206
• GCD of 373, 672, 418
• GCD of 478, 257, 690
• GCD of 611, 826, 804

1. What is the GCD of 414, 270, 445?

GCD of 414, 270, 445 is 1

2. Where do I get the detailed procedure to find GCD of 414, 270, 445?

You can find a detailed procedure to find GCD of 414, 270, 445 on our page.

3. How to find GCD of 414, 270, 445 on a calculator?

You can find the GCD of 414, 270, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.