GCD of 827, 336, 390, 918 Calculator

Given Input numbers are 827, 336, 390, 918

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

Divisors of 827

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

1, 827

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 827, 336, 390, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 336, 390, 918 is 1.

Therefore, GCD of numbers 827, 336, 390, 918 is 1

Given Input Data is 827, 336, 390, 918

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

Prime Factorization of 827 is 827

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(827, 336) = 277872

GCD(827, 336) = ( 827 x 336 ) / 277872

GCD(827, 336) = 277872 / 277872

GCD(827, 336) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 827, 336, 390, 918 is 1

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1. What is the GCD of 827, 336, 390, 918?

GCD of 827, 336, 390, 918 is 1

2. Where do I get the detailed procedure to find GCD of 827, 336, 390, 918?

You can find a detailed procedure to find GCD of 827, 336, 390, 918 on our page.

3. How to find GCD of 827, 336, 390, 918 on a calculator?

You can find the GCD of 827, 336, 390, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.