GCD of 898, 732, 16, 404 Calculator

Given Input numbers are 898, 732, 16, 404

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 898, 732, 16, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 732, 16, 404 is 2.

Therefore, GCD of numbers 898, 732, 16, 404 is 2

Given Input Data is 898, 732, 16, 404

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 404 is 2 x 2 x 101

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 732) = 328668

GCD(898, 732) = ( 898 x 732 ) / 328668

GCD(898, 732) = 657336 / 328668

GCD(898, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 898, 732, 16, 404 is 2

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1. What is the GCD of 898, 732, 16, 404?

GCD of 898, 732, 16, 404 is 2

2. Where do I get the detailed procedure to find GCD of 898, 732, 16, 404?

You can find a detailed procedure to find GCD of 898, 732, 16, 404 on our page.

3. How to find GCD of 898, 732, 16, 404 on a calculator?

You can find the GCD of 898, 732, 16, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.