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 numbers 301, 210, 18, 668 is 1
GCD(301, 210, 18, 668) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.