GCD of 898, 231, 414 Calculator

Given Input numbers are 898, 231, 414

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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

Greatest Common Divisior

We found the divisors of 898, 231, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 231, 414 is 1.

Therefore, GCD of numbers 898, 231, 414 is 1

Given Input Data is 898, 231, 414

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 231 is 3 x 7 x 11

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

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(898, 231) = 207438

GCD(898, 231) = ( 898 x 231 ) / 207438

GCD(898, 231) = 207438 / 207438

GCD(898, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 898, 231, 414 is 1

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1. What is the GCD of 898, 231, 414?

GCD of 898, 231, 414 is 1

2. Where do I get the detailed procedure to find GCD of 898, 231, 414?

You can find a detailed procedure to find GCD of 898, 231, 414 on our page.

3. How to find GCD of 898, 231, 414 on a calculator?

You can find the GCD of 898, 231, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.