GCD of 287, 340, 31, 801 Calculator

Given Input numbers are 287, 340, 31, 801

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 287, 340, 31, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 340, 31, 801 is 1.

Therefore, GCD of numbers 287, 340, 31, 801 is 1

Given Input Data is 287, 340, 31, 801

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 31 is 31

Prime Factorization of 801 is 3 x 3 x 89

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(287, 340) = 97580

GCD(287, 340) = ( 287 x 340 ) / 97580

GCD(287, 340) = 97580 / 97580

GCD(287, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1

GCD of 287, 340, 31, 801 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 784, 39, 646
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• GCD of 156, 602, 36, 194

1. What is the GCD of 287, 340, 31, 801?

GCD of 287, 340, 31, 801 is 1

2. Where do I get the detailed procedure to find GCD of 287, 340, 31, 801?

You can find a detailed procedure to find GCD of 287, 340, 31, 801 on our page.

3. How to find GCD of 287, 340, 31, 801 on a calculator?

You can find the GCD of 287, 340, 31, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.