GCD of 450, 456, 558, 430 Calculator

Given Input numbers are 450, 456, 558, 430

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 450, 456, 558, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 456, 558, 430 is 2.

Therefore, GCD of numbers 450, 456, 558, 430 is 2

Given Input Data is 450, 456, 558, 430

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 430 is 2 x 5 x 43

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, 456) = 34200

GCD(450, 456) = ( 450 x 456 ) / 34200

GCD(450, 456) = 205200 / 34200

GCD(450, 456) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 558

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

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

GCD(6, 558) = 3348 / 558

GCD(6, 558) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 430

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

LCM(6, 430) = 1290

GCD(6, 430) = ( 6 x 430 ) / 1290

GCD(6, 430) = 2580 / 1290

GCD(6, 430) = 2

GCD of 450, 456, 558, 430 is 2

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1. What is the GCD of 450, 456, 558, 430?

GCD of 450, 456, 558, 430 is 2

2. Where do I get the detailed procedure to find GCD of 450, 456, 558, 430?

You can find a detailed procedure to find GCD of 450, 456, 558, 430 on our page.

3. How to find GCD of 450, 456, 558, 430 on a calculator?

You can find the GCD of 450, 456, 558, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.