GCD of 311, 699, 55, 406 Calculator

Given Input numbers are 311, 699, 55, 406

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

Divisors of 311

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

1, 311

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 311, 699, 55, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 699, 55, 406 is 1.

Therefore, GCD of numbers 311, 699, 55, 406 is 1

Given Input Data is 311, 699, 55, 406

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

Prime Factorization of 311 is 311

Prime Factorization of 699 is 3 x 233

Prime Factorization of 55 is 5 x 11

Prime Factorization of 406 is 2 x 7 x 29

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(311, 699) = 217389

GCD(311, 699) = ( 311 x 699 ) / 217389

GCD(311, 699) = 217389 / 217389

GCD(311, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 311, 699, 55, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 173, 12, 301
• GCD of 918, 697, 54, 805
• GCD of 876, 664, 89, 521
• GCD of 413, 552, 35, 347
• GCD of 882, 743, 45, 365

1. What is the GCD of 311, 699, 55, 406?

GCD of 311, 699, 55, 406 is 1

2. Where do I get the detailed procedure to find GCD of 311, 699, 55, 406?

You can find a detailed procedure to find GCD of 311, 699, 55, 406 on our page.

3. How to find GCD of 311, 699, 55, 406 on a calculator?

You can find the GCD of 311, 699, 55, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.