GCD of 80, 638, 311, 288 Calculator

Given Input numbers are 80, 638, 311, 288

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 311

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

1, 311

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 80, 638, 311, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 638, 311, 288 is 1.

Therefore, GCD of numbers 80, 638, 311, 288 is 1

Given Input Data is 80, 638, 311, 288

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 311 is 311

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(80, 638) = 25520

GCD(80, 638) = ( 80 x 638 ) / 25520

GCD(80, 638) = 51040 / 25520

GCD(80, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 80, 638, 311, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 501, 101, 241
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• GCD of 11, 408, 520, 945
• GCD of 34, 264, 423, 225
• GCD of 80, 466, 545, 352

1. What is the GCD of 80, 638, 311, 288?

GCD of 80, 638, 311, 288 is 1

2. Where do I get the detailed procedure to find GCD of 80, 638, 311, 288?

You can find a detailed procedure to find GCD of 80, 638, 311, 288 on our page.

3. How to find GCD of 80, 638, 311, 288 on a calculator?

You can find the GCD of 80, 638, 311, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.