GCD of 301, 210, 18, 668 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 301, 210, 18, 668 i.e. 1 largest integer that divides all the numbers equally.

GCD of 301, 210, 18, 668 is 1

GCD(301, 210, 18, 668) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 301, 210, 18, 668 is 1

GCD(301, 210, 18, 668) = 1

GCD of 301,210,18,668 Calculator

GCDof 301,210,18,668 is 1

Given Input numbers are 301, 210, 18, 668

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 301, 210, 18, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 210, 18, 668 is 1.

Therefore, GCD of numbers 301, 210, 18, 668 is 1

Finding GCD of 301, 210, 18, 668 using Prime Factorization

Given Input Data is 301, 210, 18, 668

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 668 is 2 x 2 x 167

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 301, 210, 18, 668 using LCM Formula

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, 210) = 9030

GCD(301, 210) = ( 301 x 210 ) / 9030

GCD(301, 210) = 63210 / 9030

GCD(301, 210) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 18

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

LCM(7, 18) = 126

GCD(7, 18) = ( 7 x 18 ) / 126

GCD(7, 18) = 126 / 126

GCD(7, 18) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

GCD of 301, 210, 18, 668 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 301, 210, 18, 668

1. What is the GCD of 301, 210, 18, 668?

GCD of 301, 210, 18, 668 is 1


2. Where do I get the detailed procedure to find GCD of 301, 210, 18, 668?

You can find a detailed procedure to find GCD of 301, 210, 18, 668 on our page.


3. How to find GCD of 301, 210, 18, 668 on a calculator?

You can find the GCD of 301, 210, 18, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.