GCD of 184, 345, 828 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 184, 345, 828 quickly. Get the easiest ways to solve the greatest common divisor of 184, 345, 828 i.e 23 in different methods as follows.
Given Input numbers are 184, 345, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (184, 345, 828) = 23.
Given numbers are 184, 345, 828
The list of prime factors of all numbers are
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 345 are 3 x 5 x 23
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 231
Therefore, GCD of 184, 345, 828 is 23.
Steps to Calculate GCD of 184, 345, 828 using LCM Formula
Given numbers are 184, 345, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(184, 345) = 2760
GCD(184, 345) = ( 184 x 345 ) / 2760
= 184 / 345
= 184
Step2:
LCM(23, 828) = 828
GCD(23, 828) = ( 23 x 828 ) / 828
= 23 / 828
= 23
So, Greatest Common Divisor of 184, 345, 828 is 23
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 184, 345, 828
Given numbers are 184, 345, 828
The greatest common divisor of numbers 184, 345, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 345, 828 is 23.
FAQs on GCD of 184, 345, 828 Calculator
1. What is the GCD of 184, 345, 828?
GCD of given numbers 184, 345, 828 is 23
2. How to calculate the greatest common divisor of 184, 345, 828?
We can find the highest common divisor of 184, 345, 828 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 184, 345, 828 i.e 23.
3. How can I use the GCD of 184, 345, 828Calculator?
Out the numbers 184, 345, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.