GCD of 216, 768, 284 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 216, 768, 284 quickly. Get the easiest ways to solve the greatest common divisor of 216, 768, 284 i.e 4 in different methods as follows.
Given Input numbers are 216, 768, 284
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (216, 768, 284) = 4.
Given numbers are 216, 768, 284
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 22
Therefore, GCD of 216, 768, 284 is 4.
Steps to Calculate GCD of 216, 768, 284 using LCM Formula
Given numbers are 216, 768, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 768) = 6912
GCD(216, 768) = ( 216 x 768 ) / 6912
= 216 / 768
= 216
Step2:
LCM(24, 284) = 1704
GCD(24, 284) = ( 24 x 284 ) / 1704
= 24 / 284
= 24
So, Greatest Common Divisor of 216, 768, 284 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 216, 768, 284
Given numbers are 216, 768, 284
The greatest common divisor of numbers 216, 768, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 768, 284 is 4.
FAQs on GCD of 216, 768, 284 Calculator
1. What is the GCD of 216, 768, 284?
GCD of given numbers 216, 768, 284 is 4
2. How to calculate the greatest common divisor of 216, 768, 284?
We can find the highest common divisor of 216, 768, 284 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 216, 768, 284 i.e 4.
3. How can I use the GCD of 216, 768, 284Calculator?
Out the numbers 216, 768, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.