GCD of 108, 264, 81, 450 Calculator

Given Input numbers are 108, 264, 81, 450

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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

Greatest Common Divisior

We found the divisors of 108, 264, 81, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 264, 81, 450 is 3.

Therefore, GCD of numbers 108, 264, 81, 450 is 3

Given Input Data is 108, 264, 81, 450

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 81 is 3 x 3 x 3 x 3

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(108, 264) = 2376

GCD(108, 264) = ( 108 x 264 ) / 2376

GCD(108, 264) = 28512 / 2376

GCD(108, 264) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 81

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

LCM(12, 81) = 324

GCD(12, 81) = ( 12 x 81 ) / 324

GCD(12, 81) = 972 / 324

GCD(12, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 450

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

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

GCD(3, 450) = 1350 / 450

GCD(3, 450) = 3

GCD of 108, 264, 81, 450 is 3

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• GCD of 688, 697, 92, 881
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• GCD of 339, 753, 21, 265

1. What is the GCD of 108, 264, 81, 450?

GCD of 108, 264, 81, 450 is 3

2. Where do I get the detailed procedure to find GCD of 108, 264, 81, 450?

You can find a detailed procedure to find GCD of 108, 264, 81, 450 on our page.

3. How to find GCD of 108, 264, 81, 450 on a calculator?

You can find the GCD of 108, 264, 81, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.