GCD of 450, 898, 104 Calculator

Given Input numbers are 450, 898, 104

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 898

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

1, 2, 449, 898

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 450, 898, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 898, 104 is 2.

Therefore, GCD of numbers 450, 898, 104 is 2

Given Input Data is 450, 898, 104

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 898 is 2 x 449

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(450, 898) = 202050

GCD(450, 898) = ( 450 x 898 ) / 202050

GCD(450, 898) = 404100 / 202050

GCD(450, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 450, 898, 104 is 2

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1. What is the GCD of 450, 898, 104?

GCD of 450, 898, 104 is 2

2. Where do I get the detailed procedure to find GCD of 450, 898, 104?

You can find a detailed procedure to find GCD of 450, 898, 104 on our page.

3. How to find GCD of 450, 898, 104 on a calculator?

You can find the GCD of 450, 898, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.