GCD of 678, 228, 135 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 678, 228, 135 quickly. Get the easiest ways to solve the greatest common divisor of 678, 228, 135 i.e 3 in different methods as follows.
Given Input numbers are 678, 228, 135
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 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (678, 228, 135) = 3.
Given numbers are 678, 228, 135
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 678, 228, 135 is 3.
Steps to Calculate GCD of 678, 228, 135 using LCM Formula
Given numbers are 678, 228, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 228) = 25764
GCD(678, 228) = ( 678 x 228 ) / 25764
= 678 / 228
= 678
Step2:
LCM(6, 135) = 270
GCD(6, 135) = ( 6 x 135 ) / 270
= 6 / 135
= 6
So, Greatest Common Divisor of 678, 228, 135 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 678, 228, 135
Given numbers are 678, 228, 135
The greatest common divisor of numbers 678, 228, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 228, 135 is 3.
FAQs on GCD of 678, 228, 135 Calculator
1. What is the GCD of 678, 228, 135?
GCD of given numbers 678, 228, 135 is 3
2. How to calculate the greatest common divisor of 678, 228, 135?
We can find the highest common divisor of 678, 228, 135 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, 228, 135 i.e 3.
3. How can I use the GCD of 678, 228, 135Calculator?
Out the numbers 678, 228, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.