GCD of 216, 174, 344 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 216, 174, 344 quickly. Get the easiest ways to solve the greatest common divisor of 216, 174, 344 i.e 2 in different methods as follows.
Given Input numbers are 216, 174, 344
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (216, 174, 344) = 2.
Given numbers are 216, 174, 344
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 174 are 2 x 3 x 29
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 216, 174, 344 is 2.
Steps to Calculate GCD of 216, 174, 344 using LCM Formula
Given numbers are 216, 174, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 174) = 6264
GCD(216, 174) = ( 216 x 174 ) / 6264
= 216 / 174
= 216
Step2:
LCM(6, 344) = 1032
GCD(6, 344) = ( 6 x 344 ) / 1032
= 6 / 344
= 6
So, Greatest Common Divisor of 216, 174, 344 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 216, 174, 344
Given numbers are 216, 174, 344
The greatest common divisor of numbers 216, 174, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 174, 344 is 2.
FAQs on GCD of 216, 174, 344 Calculator
1. What is the GCD of 216, 174, 344?
GCD of given numbers 216, 174, 344 is 2
2. How to calculate the greatest common divisor of 216, 174, 344?
We can find the highest common divisor of 216, 174, 344 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 216, 174, 344 i.e 2.
3. How can I use the GCD of 216, 174, 344Calculator?
Out the numbers 216, 174, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.