GCD of 442, 454, 10, 216 Calculator

Given Input numbers are 442, 454, 10, 216

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 442, 454, 10, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 454, 10, 216 is 2.

Therefore, GCD of numbers 442, 454, 10, 216 is 2

Given Input Data is 442, 454, 10, 216

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 454 is 2 x 227

Prime Factorization of 10 is 2 x 5

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(442, 454) = 100334

GCD(442, 454) = ( 442 x 454 ) / 100334

GCD(442, 454) = 200668 / 100334

GCD(442, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

GCD of 442, 454, 10, 216 is 2

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• GCD of 415, 430, 63, 533
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1. What is the GCD of 442, 454, 10, 216?

GCD of 442, 454, 10, 216 is 2

2. Where do I get the detailed procedure to find GCD of 442, 454, 10, 216?

You can find a detailed procedure to find GCD of 442, 454, 10, 216 on our page.

3. How to find GCD of 442, 454, 10, 216 on a calculator?

You can find the GCD of 442, 454, 10, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.