GCD of 827, 582, 17, 378 Calculator

Given Input numbers are 827, 582, 17, 378

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 582

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

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 827, 582, 17, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 582, 17, 378 is 1.

Therefore, GCD of numbers 827, 582, 17, 378 is 1

Given Input Data is 827, 582, 17, 378

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

Prime Factorization of 827 is 827

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 17 is 17

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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, 582) = 481314

GCD(827, 582) = ( 827 x 582 ) / 481314

GCD(827, 582) = 481314 / 481314

GCD(827, 582) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 827, 582, 17, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 638, 91, 660
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1. What is the GCD of 827, 582, 17, 378?

GCD of 827, 582, 17, 378 is 1

2. Where do I get the detailed procedure to find GCD of 827, 582, 17, 378?

You can find a detailed procedure to find GCD of 827, 582, 17, 378 on our page.

3. How to find GCD of 827, 582, 17, 378 on a calculator?

You can find the GCD of 827, 582, 17, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.