GCD of 396, 369, 781, 382 Calculator

Given Input numbers are 396, 369, 781, 382

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 396, 369, 781, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 369, 781, 382 is 1.

Therefore, GCD of numbers 396, 369, 781, 382 is 1

Given Input Data is 396, 369, 781, 382

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 781 is 11 x 71

Prime Factorization of 382 is 2 x 191

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(396, 369) = 16236

GCD(396, 369) = ( 396 x 369 ) / 16236

GCD(396, 369) = 146124 / 16236

GCD(396, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 781

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

LCM(9, 781) = 7029

GCD(9, 781) = ( 9 x 781 ) / 7029

GCD(9, 781) = 7029 / 7029

GCD(9, 781) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 396, 369, 781, 382 is 1

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1. What is the GCD of 396, 369, 781, 382?

GCD of 396, 369, 781, 382 is 1

2. Where do I get the detailed procedure to find GCD of 396, 369, 781, 382?

You can find a detailed procedure to find GCD of 396, 369, 781, 382 on our page.

3. How to find GCD of 396, 369, 781, 382 on a calculator?

You can find the GCD of 396, 369, 781, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.