GCD of 429, 258, 898 Calculator

Given Input numbers are 429, 258, 898

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 898

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

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 429, 258, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 258, 898 is 1.

Therefore, GCD of numbers 429, 258, 898 is 1

Given Input Data is 429, 258, 898

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 898 is 2 x 449

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(429, 258) = 36894

GCD(429, 258) = ( 429 x 258 ) / 36894

GCD(429, 258) = 110682 / 36894

GCD(429, 258) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 898

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

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

GCD(3, 898) = 2694 / 2694

GCD(3, 898) = 1

GCD of 429, 258, 898 is 1

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1. What is the GCD of 429, 258, 898?

GCD of 429, 258, 898 is 1

2. Where do I get the detailed procedure to find GCD of 429, 258, 898?

You can find a detailed procedure to find GCD of 429, 258, 898 on our page.

3. How to find GCD of 429, 258, 898 on a calculator?

You can find the GCD of 429, 258, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.