GCD of 454, 480, 440 Calculator

Given Input numbers are 454, 480, 440

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

Divisors of 454

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

1, 2, 227, 454

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 454, 480, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 480, 440 is 2.

Therefore, GCD of numbers 454, 480, 440 is 2

Given Input Data is 454, 480, 440

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(454, 480) = 108960

GCD(454, 480) = ( 454 x 480 ) / 108960

GCD(454, 480) = 217920 / 108960

GCD(454, 480) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 454, 480, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 214, 867
• GCD of 130, 640, 526
• GCD of 812, 879, 285
• GCD of 663, 649, 721
• GCD of 777, 864, 162

1. What is the GCD of 454, 480, 440?

GCD of 454, 480, 440 is 2

2. Where do I get the detailed procedure to find GCD of 454, 480, 440?

You can find a detailed procedure to find GCD of 454, 480, 440 on our page.

3. How to find GCD of 454, 480, 440 on a calculator?

You can find the GCD of 454, 480, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.