GCD of 396, 916, 71, 794 Calculator

Given Input numbers are 396, 916, 71, 794

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 396, 916, 71, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 916, 71, 794 is 1.

Therefore, GCD of numbers 396, 916, 71, 794 is 1

Given Input Data is 396, 916, 71, 794

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 916 is 2 x 2 x 229

Prime Factorization of 71 is 71

Prime Factorization of 794 is 2 x 397

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, 916) = 90684

GCD(396, 916) = ( 396 x 916 ) / 90684

GCD(396, 916) = 362736 / 90684

GCD(396, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 396, 916, 71, 794 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 733, 68, 418
• GCD of 817, 518, 33, 341
• GCD of 580, 425, 47, 520
• GCD of 321, 822, 30, 498
• GCD of 894, 492, 79, 457

1. What is the GCD of 396, 916, 71, 794?

GCD of 396, 916, 71, 794 is 1

2. Where do I get the detailed procedure to find GCD of 396, 916, 71, 794?

You can find a detailed procedure to find GCD of 396, 916, 71, 794 on our page.

3. How to find GCD of 396, 916, 71, 794 on a calculator?

You can find the GCD of 396, 916, 71, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.