GCD of 301, 317, 18, 840 Calculator

Given Input numbers are 301, 317, 18, 840

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 301, 317, 18, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 317, 18, 840 is 1.

Therefore, GCD of numbers 301, 317, 18, 840 is 1

Given Input Data is 301, 317, 18, 840

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 317 is 317

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(301, 317) = 95417

GCD(301, 317) = ( 301 x 317 ) / 95417

GCD(301, 317) = 95417 / 95417

GCD(301, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 301, 317, 18, 840 is 1

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1. What is the GCD of 301, 317, 18, 840?

GCD of 301, 317, 18, 840 is 1

2. Where do I get the detailed procedure to find GCD of 301, 317, 18, 840?

You can find a detailed procedure to find GCD of 301, 317, 18, 840 on our page.

3. How to find GCD of 301, 317, 18, 840 on a calculator?

You can find the GCD of 301, 317, 18, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.