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 210, 103, 289, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 103, 289, 399 is 1
GCD(210, 103, 289, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 103, 289, 399 is 1
GCD(210, 103, 289, 399) = 1
Given Input numbers are 210, 103, 289, 399
To find the GCD of numbers using factoring list out all the divisors of each number
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 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 210, 103, 289, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 103, 289, 399 is 1.
Therefore, GCD of numbers 210, 103, 289, 399 is 1
Given Input Data is 210, 103, 289, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 103 is 103
Prime Factorization of 289 is 17 x 17
Prime Factorization of 399 is 3 x 7 x 19
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(210, 103) = 21630
GCD(210, 103) = ( 210 x 103 ) / 21630
GCD(210, 103) = 21630 / 21630
GCD(210, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 210, 103, 289, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 103, 289, 399?
GCD of 210, 103, 289, 399 is 1
2. Where do I get the detailed procedure to find GCD of 210, 103, 289, 399?
You can find a detailed procedure to find GCD of 210, 103, 289, 399 on our page.
3. How to find GCD of 210, 103, 289, 399 on a calculator?
You can find the GCD of 210, 103, 289, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.