GCD of 592, 827, 27, 480 Calculator

Given Input numbers are 592, 827, 27, 480

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 827

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

1, 827

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 592, 827, 27, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 827, 27, 480 is 1.

Therefore, GCD of numbers 592, 827, 27, 480 is 1

Given Input Data is 592, 827, 27, 480

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 827 is 827

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(592, 827) = 489584

GCD(592, 827) = ( 592 x 827 ) / 489584

GCD(592, 827) = 489584 / 489584

GCD(592, 827) = 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 592, 827, 27, 480 is 1

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1. What is the GCD of 592, 827, 27, 480?

GCD of 592, 827, 27, 480 is 1

2. Where do I get the detailed procedure to find GCD of 592, 827, 27, 480?

You can find a detailed procedure to find GCD of 592, 827, 27, 480 on our page.

3. How to find GCD of 592, 827, 27, 480 on a calculator?

You can find the GCD of 592, 827, 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.