GCD of 678, 990, 343 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 678, 990, 343 quickly. Get the easiest ways to solve the greatest common divisor of 678, 990, 343 i.e 1 in different methods as follows.
Given Input numbers are 678, 990, 343
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 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (678, 990, 343) = 1.
Given numbers are 678, 990, 343
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 678, 990, 343 using LCM Formula
Given numbers are 678, 990, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 990) = 111870
GCD(678, 990) = ( 678 x 990 ) / 111870
= 678 / 990
= 678
Step2:
LCM(6, 343) = 2058
GCD(6, 343) = ( 6 x 343 ) / 2058
= 6 / 343
= 6
So, Greatest Common Divisor of 678, 990, 343 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 678, 990, 343
Given numbers are 678, 990, 343
The greatest common divisor of numbers 678, 990, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 990, 343 is 1.
FAQs on GCD of 678, 990, 343 Calculator
1. What is the GCD of 678, 990, 343?
GCD of given numbers 678, 990, 343 is 1
2. How to calculate the greatest common divisor of 678, 990, 343?
We can find the highest common divisor of 678, 990, 343 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, 990, 343 i.e 1.
3. How can I use the GCD of 678, 990, 343Calculator?
Out the numbers 678, 990, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.