GCD of 816, 724, 390 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 816, 724, 390 quickly. Get the easiest ways to solve the greatest common divisor of 816, 724, 390 i.e 2 in different methods as follows.
Given Input numbers are 816, 724, 390
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (816, 724, 390) = 2.
Given numbers are 816, 724, 390
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 724 are 2 x 2 x 181
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 816, 724, 390 is 2.
Steps to Calculate GCD of 816, 724, 390 using LCM Formula
Given numbers are 816, 724, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 724) = 147696
GCD(816, 724) = ( 816 x 724 ) / 147696
= 816 / 724
= 816
Step2:
LCM(4, 390) = 780
GCD(4, 390) = ( 4 x 390 ) / 780
= 4 / 390
= 4
So, Greatest Common Divisor of 816, 724, 390 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 816, 724, 390
Given numbers are 816, 724, 390
The greatest common divisor of numbers 816, 724, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 724, 390 is 2.
FAQs on GCD of 816, 724, 390 Calculator
1. What is the GCD of 816, 724, 390?
GCD of given numbers 816, 724, 390 is 2
2. How to calculate the greatest common divisor of 816, 724, 390?
We can find the highest common divisor of 816, 724, 390 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 816, 724, 390 i.e 2.
3. How can I use the GCD of 816, 724, 390Calculator?
Out the numbers 816, 724, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.