GCD of 362, 311, 115, 396 Calculator

Given Input numbers are 362, 311, 115, 396

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

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

Greatest Common Divisior

We found the divisors of 362, 311, 115, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 311, 115, 396 is 1.

Therefore, GCD of numbers 362, 311, 115, 396 is 1

Given Input Data is 362, 311, 115, 396

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 311 is 311

Prime Factorization of 115 is 5 x 23

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

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(362, 311) = 112582

GCD(362, 311) = ( 362 x 311 ) / 112582

GCD(362, 311) = 112582 / 112582

GCD(362, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 362, 311, 115, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 547, 227, 792
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• GCD of 527, 965, 134, 114
• GCD of 908, 434, 512, 794

1. What is the GCD of 362, 311, 115, 396?

GCD of 362, 311, 115, 396 is 1

2. Where do I get the detailed procedure to find GCD of 362, 311, 115, 396?

You can find a detailed procedure to find GCD of 362, 311, 115, 396 on our page.

3. How to find GCD of 362, 311, 115, 396 on a calculator?

You can find the GCD of 362, 311, 115, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.