GCD of 678, 855, 642 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 678, 855, 642 quickly. Get the easiest ways to solve the greatest common divisor of 678, 855, 642 i.e 3 in different methods as follows.
Given Input numbers are 678, 855, 642
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 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (678, 855, 642) = 3.
Given numbers are 678, 855, 642
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 678, 855, 642 is 3.
Steps to Calculate GCD of 678, 855, 642 using LCM Formula
Given numbers are 678, 855, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 855) = 193230
GCD(678, 855) = ( 678 x 855 ) / 193230
= 678 / 855
= 678
Step2:
LCM(3, 642) = 642
GCD(3, 642) = ( 3 x 642 ) / 642
= 3 / 642
= 3
So, Greatest Common Divisor of 678, 855, 642 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 678, 855, 642
Given numbers are 678, 855, 642
The greatest common divisor of numbers 678, 855, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 855, 642 is 3.
FAQs on GCD of 678, 855, 642 Calculator
1. What is the GCD of 678, 855, 642?
GCD of given numbers 678, 855, 642 is 3
2. How to calculate the greatest common divisor of 678, 855, 642?
We can find the highest common divisor of 678, 855, 642 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, 855, 642 i.e 3.
3. How can I use the GCD of 678, 855, 642Calculator?
Out the numbers 678, 855, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.