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 684, 923, 218, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 923, 218, 214 is 1
GCD(684, 923, 218, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 923, 218, 214 is 1
GCD(684, 923, 218, 214) = 1
Given Input numbers are 684, 923, 218, 214
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 684, 923, 218, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 923, 218, 214 is 1.
Therefore, GCD of numbers 684, 923, 218, 214 is 1
Given Input Data is 684, 923, 218, 214
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 923 is 13 x 71
Prime Factorization of 218 is 2 x 109
Prime Factorization of 214 is 2 x 107
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(684, 923) = 631332
GCD(684, 923) = ( 684 x 923 ) / 631332
GCD(684, 923) = 631332 / 631332
GCD(684, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
GCD of 684, 923, 218, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 923, 218, 214?
GCD of 684, 923, 218, 214 is 1
2. Where do I get the detailed procedure to find GCD of 684, 923, 218, 214?
You can find a detailed procedure to find GCD of 684, 923, 218, 214 on our page.
3. How to find GCD of 684, 923, 218, 214 on a calculator?
You can find the GCD of 684, 923, 218, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.