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, 138, 309, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 138, 309, 319 is 1
GCD(210, 138, 309, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 138, 309, 319 is 1
GCD(210, 138, 309, 319) = 1
Given Input numbers are 210, 138, 309, 319
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 210, 138, 309, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 138, 309, 319 is 1.
Therefore, GCD of numbers 210, 138, 309, 319 is 1
Given Input Data is 210, 138, 309, 319
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 138 is 2 x 3 x 23
Prime Factorization of 309 is 3 x 103
Prime Factorization of 319 is 11 x 29
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, 138) = 4830
GCD(210, 138) = ( 210 x 138 ) / 4830
GCD(210, 138) = 28980 / 4830
GCD(210, 138) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 309) = 618
GCD(6, 309) = ( 6 x 309 ) / 618
GCD(6, 309) = 1854 / 618
GCD(6, 309) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 319) = 957
GCD(3, 319) = ( 3 x 319 ) / 957
GCD(3, 319) = 957 / 957
GCD(3, 319) = 1
GCD of 210, 138, 309, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 138, 309, 319?
GCD of 210, 138, 309, 319 is 1
2. Where do I get the detailed procedure to find GCD of 210, 138, 309, 319?
You can find a detailed procedure to find GCD of 210, 138, 309, 319 on our page.
3. How to find GCD of 210, 138, 309, 319 on a calculator?
You can find the GCD of 210, 138, 309, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.