GCD of 774, 264, 216 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 774, 264, 216 quickly. Get the easiest ways to solve the greatest common divisor of 774, 264, 216 i.e 6 in different methods as follows.
Given Input numbers are 774, 264, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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
GCD of numbers is the greatest common divisor
So, the GCD (774, 264, 216) = 6.
Given numbers are 774, 264, 216
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 774, 264, 216 is 6.
Steps to Calculate GCD of 774, 264, 216 using LCM Formula
Given numbers are 774, 264, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 264) = 34056
GCD(774, 264) = ( 774 x 264 ) / 34056
= 774 / 264
= 774
Step2:
LCM(6, 216) = 216
GCD(6, 216) = ( 6 x 216 ) / 216
= 6 / 216
= 6
So, Greatest Common Divisor of 774, 264, 216 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 774, 264, 216
Given numbers are 774, 264, 216
The greatest common divisor of numbers 774, 264, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 264, 216 is 6.
FAQs on GCD of 774, 264, 216 Calculator
1. What is the GCD of 774, 264, 216?
GCD of given numbers 774, 264, 216 is 6
2. How to calculate the greatest common divisor of 774, 264, 216?
We can find the highest common divisor of 774, 264, 216 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 774, 264, 216 i.e 6.
3. How can I use the GCD of 774, 264, 216Calculator?
Out the numbers 774, 264, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.