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, 843, 19, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 843, 19, 161 is 1
GCD(684, 843, 19, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 843, 19, 161 is 1
GCD(684, 843, 19, 161) = 1
Given Input numbers are 684, 843, 19, 161
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 684, 843, 19, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 843, 19, 161 is 1.
Therefore, GCD of numbers 684, 843, 19, 161 is 1
Given Input Data is 684, 843, 19, 161
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 843 is 3 x 281
Prime Factorization of 19 is 19
Prime Factorization of 161 is 7 x 23
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, 843) = 192204
GCD(684, 843) = ( 684 x 843 ) / 192204
GCD(684, 843) = 576612 / 192204
GCD(684, 843) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 19) = 57
GCD(3, 19) = ( 3 x 19 ) / 57
GCD(3, 19) = 57 / 57
GCD(3, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 684, 843, 19, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 843, 19, 161?
GCD of 684, 843, 19, 161 is 1
2. Where do I get the detailed procedure to find GCD of 684, 843, 19, 161?
You can find a detailed procedure to find GCD of 684, 843, 19, 161 on our page.
3. How to find GCD of 684, 843, 19, 161 on a calculator?
You can find the GCD of 684, 843, 19, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.