GCD of 564, 345, 816 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 345, 816 quickly. Get the easiest ways to solve the greatest common divisor of 564, 345, 816 i.e 3 in different methods as follows.
Given Input numbers are 564, 345, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
GCD of numbers is the greatest common divisor
So, the GCD (564, 345, 816) = 3.
Given numbers are 564, 345, 816
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 345 are 3 x 5 x 23
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 564, 345, 816 is 3.
Steps to Calculate GCD of 564, 345, 816 using LCM Formula
Given numbers are 564, 345, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 345) = 64860
GCD(564, 345) = ( 564 x 345 ) / 64860
= 564 / 345
= 564
Step2:
LCM(3, 816) = 816
GCD(3, 816) = ( 3 x 816 ) / 816
= 3 / 816
= 3
So, Greatest Common Divisor of 564, 345, 816 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 345, 816
Given numbers are 564, 345, 816
The greatest common divisor of numbers 564, 345, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 345, 816 is 3.
FAQs on GCD of 564, 345, 816 Calculator
1. What is the GCD of 564, 345, 816?
GCD of given numbers 564, 345, 816 is 3
2. How to calculate the greatest common divisor of 564, 345, 816?
We can find the highest common divisor of 564, 345, 816 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 564, 345, 816 i.e 3.
3. How can I use the GCD of 564, 345, 816Calculator?
Out the numbers 564, 345, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.