GCD of 678, 270, 96 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 678, 270, 96 quickly. Get the easiest ways to solve the greatest common divisor of 678, 270, 96 i.e 6 in different methods as follows.
Given Input numbers are 678, 270, 96
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD of numbers is the greatest common divisor
So, the GCD (678, 270, 96) = 6.
Given numbers are 678, 270, 96
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 678, 270, 96 is 6.
Steps to Calculate GCD of 678, 270, 96 using LCM Formula
Given numbers are 678, 270, 96
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 270) = 30510
GCD(678, 270) = ( 678 x 270 ) / 30510
= 678 / 270
= 678
Step2:
LCM(6, 96) = 96
GCD(6, 96) = ( 6 x 96 ) / 96
= 6 / 96
= 6
So, Greatest Common Divisor of 678, 270, 96 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 678, 270, 96
Given numbers are 678, 270, 96
The greatest common divisor of numbers 678, 270, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 270, 96 is 6.
FAQs on GCD of 678, 270, 96 Calculator
1. What is the GCD of 678, 270, 96?
GCD of given numbers 678, 270, 96 is 6
2. How to calculate the greatest common divisor of 678, 270, 96?
We can find the highest common divisor of 678, 270, 96 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 678, 270, 96 i.e 6.
3. How can I use the GCD of 678, 270, 96Calculator?
Out the numbers 678, 270, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.