GCD of 310, 442, 18, 901 Calculator

Given Input numbers are 310, 442, 18, 901

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 310, 442, 18, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 442, 18, 901 is 1.

Therefore, GCD of numbers 310, 442, 18, 901 is 1

Given Input Data is 310, 442, 18, 901

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 901 is 17 x 53

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(310, 442) = 68510

GCD(310, 442) = ( 310 x 442 ) / 68510

GCD(310, 442) = 137020 / 68510

GCD(310, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

GCD of 310, 442, 18, 901 is 1

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• GCD of 458, 139, 25, 755
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1. What is the GCD of 310, 442, 18, 901?

GCD of 310, 442, 18, 901 is 1

2. Where do I get the detailed procedure to find GCD of 310, 442, 18, 901?

You can find a detailed procedure to find GCD of 310, 442, 18, 901 on our page.

3. How to find GCD of 310, 442, 18, 901 on a calculator?

You can find the GCD of 310, 442, 18, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.