GCD of 306, 529, 27, 480 Calculator

Given Input numbers are 306, 529, 27, 480

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 27

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

1, 3, 9, 27

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

Greatest Common Divisior

We found the divisors of 306, 529, 27, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 529, 27, 480 is 1.

Therefore, GCD of numbers 306, 529, 27, 480 is 1

Given Input Data is 306, 529, 27, 480

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 529 is 23 x 23

Prime Factorization of 27 is 3 x 3 x 3

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

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(306, 529) = 161874

GCD(306, 529) = ( 306 x 529 ) / 161874

GCD(306, 529) = 161874 / 161874

GCD(306, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 306, 529, 27, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 933, 42, 183
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• GCD of 929, 368, 27, 985
• GCD of 290, 767, 40, 181
• GCD of 898, 196, 67, 239

1. What is the GCD of 306, 529, 27, 480?

GCD of 306, 529, 27, 480 is 1

2. Where do I get the detailed procedure to find GCD of 306, 529, 27, 480?

You can find a detailed procedure to find GCD of 306, 529, 27, 480 on our page.

3. How to find GCD of 306, 529, 27, 480 on a calculator?

You can find the GCD of 306, 529, 27, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.