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 344, 163, 71, 219 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 163, 71, 219 is 1
GCD(344, 163, 71, 219) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 163, 71, 219 is 1
GCD(344, 163, 71, 219) = 1
Given Input numbers are 344, 163, 71, 219
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Greatest Common Divisior
We found the divisors of 344, 163, 71, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 163, 71, 219 is 1.
Therefore, GCD of numbers 344, 163, 71, 219 is 1
Given Input Data is 344, 163, 71, 219
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 163 is 163
Prime Factorization of 71 is 71
Prime Factorization of 219 is 3 x 73
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(344, 163) = 56072
GCD(344, 163) = ( 344 x 163 ) / 56072
GCD(344, 163) = 56072 / 56072
GCD(344, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 219
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 219) = 219
GCD(1, 219) = ( 1 x 219 ) / 219
GCD(1, 219) = 219 / 219
GCD(1, 219) = 1
GCD of 344, 163, 71, 219 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 163, 71, 219?
GCD of 344, 163, 71, 219 is 1
2. Where do I get the detailed procedure to find GCD of 344, 163, 71, 219?
You can find a detailed procedure to find GCD of 344, 163, 71, 219 on our page.
3. How to find GCD of 344, 163, 71, 219 on a calculator?
You can find the GCD of 344, 163, 71, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.