GCD of 816, 732, 714 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 816, 732, 714 quickly. Get the easiest ways to solve the greatest common divisor of 816, 732, 714 i.e 6 in different methods as follows.
Given Input numbers are 816, 732, 714
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (816, 732, 714) = 6.
Given numbers are 816, 732, 714
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 732 are 2 x 2 x 3 x 61
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21 x 31
Therefore, GCD of 816, 732, 714 is 6.
Steps to Calculate GCD of 816, 732, 714 using LCM Formula
Given numbers are 816, 732, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 732) = 49776
GCD(816, 732) = ( 816 x 732 ) / 49776
= 816 / 732
= 816
Step2:
LCM(12, 714) = 1428
GCD(12, 714) = ( 12 x 714 ) / 1428
= 12 / 714
= 12
So, Greatest Common Divisor of 816, 732, 714 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 816, 732, 714
Given numbers are 816, 732, 714
The greatest common divisor of numbers 816, 732, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 732, 714 is 6.
FAQs on GCD of 816, 732, 714 Calculator
1. What is the GCD of 816, 732, 714?
GCD of given numbers 816, 732, 714 is 6
2. How to calculate the greatest common divisor of 816, 732, 714?
We can find the highest common divisor of 816, 732, 714 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, 732, 714 i.e 6.
3. How can I use the GCD of 816, 732, 714Calculator?
Out the numbers 816, 732, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.