GCD of 480, 442, 827, 491 Calculator

Given Input numbers are 480, 442, 827, 491

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

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 442

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

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 480, 442, 827, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 442, 827, 491 is 1.

Therefore, GCD of numbers 480, 442, 827, 491 is 1

Given Input Data is 480, 442, 827, 491

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

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 827 is 827

Prime Factorization of 491 is 491

The above numbers do not have any common prime factor. So GCD is 1

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(480, 442) = 106080

GCD(480, 442) = ( 480 x 442 ) / 106080

GCD(480, 442) = 212160 / 106080

GCD(480, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 480, 442, 827, 491 is 1

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1. What is the GCD of 480, 442, 827, 491?

GCD of 480, 442, 827, 491 is 1

2. Where do I get the detailed procedure to find GCD of 480, 442, 827, 491?

You can find a detailed procedure to find GCD of 480, 442, 827, 491 on our page.

3. How to find GCD of 480, 442, 827, 491 on a calculator?

You can find the GCD of 480, 442, 827, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.