GCD of 898, 323, 428, 416 Calculator

Given Input numbers are 898, 323, 428, 416

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 898, 323, 428, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 323, 428, 416 is 1.

Therefore, GCD of numbers 898, 323, 428, 416 is 1

Given Input Data is 898, 323, 428, 416

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 323 is 17 x 19

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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, 323) = 290054

GCD(898, 323) = ( 898 x 323 ) / 290054

GCD(898, 323) = 290054 / 290054

GCD(898, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 898, 323, 428, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 670, 772, 967
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1. What is the GCD of 898, 323, 428, 416?

GCD of 898, 323, 428, 416 is 1

2. Where do I get the detailed procedure to find GCD of 898, 323, 428, 416?

You can find a detailed procedure to find GCD of 898, 323, 428, 416 on our page.

3. How to find GCD of 898, 323, 428, 416 on a calculator?

You can find the GCD of 898, 323, 428, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.