GCD of 480, 582, 27, 755 Calculator

Given Input numbers are 480, 582, 27, 755

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 480, 582, 27, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 582, 27, 755 is 1.

Therefore, GCD of numbers 480, 582, 27, 755 is 1

Given Input Data is 480, 582, 27, 755

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 582 is 2 x 3 x 97

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 755 is 5 x 151

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, 582) = 46560

GCD(480, 582) = ( 480 x 582 ) / 46560

GCD(480, 582) = 279360 / 46560

GCD(480, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 27

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

LCM(6, 27) = 54

GCD(6, 27) = ( 6 x 27 ) / 54

GCD(6, 27) = 162 / 54

GCD(6, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 755

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

LCM(3, 755) = 2265

GCD(3, 755) = ( 3 x 755 ) / 2265

GCD(3, 755) = 2265 / 2265

GCD(3, 755) = 1

GCD of 480, 582, 27, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 470, 39, 751
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• GCD of 515, 512, 62, 859

1. What is the GCD of 480, 582, 27, 755?

GCD of 480, 582, 27, 755 is 1

2. Where do I get the detailed procedure to find GCD of 480, 582, 27, 755?

You can find a detailed procedure to find GCD of 480, 582, 27, 755 on our page.

3. How to find GCD of 480, 582, 27, 755 on a calculator?

You can find the GCD of 480, 582, 27, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.