GCD of 460, 480, 40, 226 Calculator

Given Input numbers are 460, 480, 40, 226

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 460, 480, 40, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 480, 40, 226 is 2.

Therefore, GCD of numbers 460, 480, 40, 226 is 2

Given Input Data is 460, 480, 40, 226

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 226 is 2 x 113

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(460, 480) = 11040

GCD(460, 480) = ( 460 x 480 ) / 11040

GCD(460, 480) = 220800 / 11040

GCD(460, 480) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 40

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

LCM(20, 40) = 40

GCD(20, 40) = ( 20 x 40 ) / 40

GCD(20, 40) = 800 / 40

GCD(20, 40) = 20

Step3:

Here we consider the GCD from the above i.e. 20 as first number and the next as 226

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

LCM(20, 226) = 2260

GCD(20, 226) = ( 20 x 226 ) / 2260

GCD(20, 226) = 4520 / 2260

GCD(20, 226) = 2

GCD of 460, 480, 40, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 569, 18, 419
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• GCD of 245, 395, 91, 485
• GCD of 132, 600, 83, 516
• GCD of 161, 259, 66, 388

1. What is the GCD of 460, 480, 40, 226?

GCD of 460, 480, 40, 226 is 2

2. Where do I get the detailed procedure to find GCD of 460, 480, 40, 226?

You can find a detailed procedure to find GCD of 460, 480, 40, 226 on our page.

3. How to find GCD of 460, 480, 40, 226 on a calculator?

You can find the GCD of 460, 480, 40, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.