GCD of 208, 363, 450, 311 Calculator

Given Input numbers are 208, 363, 450, 311

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 311

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

1, 311

Greatest Common Divisior

We found the divisors of 208, 363, 450, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 363, 450, 311 is 1.

Therefore, GCD of numbers 208, 363, 450, 311 is 1

Given Input Data is 208, 363, 450, 311

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 311 is 311

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(208, 363) = 75504

GCD(208, 363) = ( 208 x 363 ) / 75504

GCD(208, 363) = 75504 / 75504

GCD(208, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

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

GCD of 208, 363, 450, 311 is 1

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1. What is the GCD of 208, 363, 450, 311?

GCD of 208, 363, 450, 311 is 1

2. Where do I get the detailed procedure to find GCD of 208, 363, 450, 311?

You can find a detailed procedure to find GCD of 208, 363, 450, 311 on our page.

3. How to find GCD of 208, 363, 450, 311 on a calculator?

You can find the GCD of 208, 363, 450, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.