GCD of 828, 113, 399, 418 Calculator

Given Input numbers are 828, 113, 399, 418

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 828, 113, 399, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 113, 399, 418 is 1.

Therefore, GCD of numbers 828, 113, 399, 418 is 1

Given Input Data is 828, 113, 399, 418

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 113 is 113

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 418 is 2 x 11 x 19

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(828, 113) = 93564

GCD(828, 113) = ( 828 x 113 ) / 93564

GCD(828, 113) = 93564 / 93564

GCD(828, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 828, 113, 399, 418 is 1

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1. What is the GCD of 828, 113, 399, 418?

GCD of 828, 113, 399, 418 is 1

2. Where do I get the detailed procedure to find GCD of 828, 113, 399, 418?

You can find a detailed procedure to find GCD of 828, 113, 399, 418 on our page.

3. How to find GCD of 828, 113, 399, 418 on a calculator?

You can find the GCD of 828, 113, 399, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.