GCD of 981, 914, 311, 396 Calculator

Given Input numbers are 981, 914, 311, 396

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 311

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

1, 311

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 981, 914, 311, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 914, 311, 396 is 1.

Therefore, GCD of numbers 981, 914, 311, 396 is 1

Given Input Data is 981, 914, 311, 396

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 914 is 2 x 457

Prime Factorization of 311 is 311

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(981, 914) = 896634

GCD(981, 914) = ( 981 x 914 ) / 896634

GCD(981, 914) = 896634 / 896634

GCD(981, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 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 981, 914, 311, 396 is 1

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1. What is the GCD of 981, 914, 311, 396?

GCD of 981, 914, 311, 396 is 1

2. Where do I get the detailed procedure to find GCD of 981, 914, 311, 396?

You can find a detailed procedure to find GCD of 981, 914, 311, 396 on our page.

3. How to find GCD of 981, 914, 311, 396 on a calculator?

You can find the GCD of 981, 914, 311, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.