GCD of 450, 654, 16, 282 Calculator

Given Input numbers are 450, 654, 16, 282

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 450, 654, 16, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 654, 16, 282 is 2.

Therefore, GCD of numbers 450, 654, 16, 282 is 2

Given Input Data is 450, 654, 16, 282

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 654 is 2 x 3 x 109

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

Prime Factorization of 282 is 2 x 3 x 47

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, 654) = 49050

GCD(450, 654) = ( 450 x 654 ) / 49050

GCD(450, 654) = 294300 / 49050

GCD(450, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

GCD of 450, 654, 16, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 344, 63, 874
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• GCD of 886, 792, 48, 994

1. What is the GCD of 450, 654, 16, 282?

GCD of 450, 654, 16, 282 is 2

2. Where do I get the detailed procedure to find GCD of 450, 654, 16, 282?

You can find a detailed procedure to find GCD of 450, 654, 16, 282 on our page.

3. How to find GCD of 450, 654, 16, 282 on a calculator?

You can find the GCD of 450, 654, 16, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.