GCD of 243, 284, 14 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 243, 284, 14 quickly. Get the easiest ways to solve the greatest common divisor of 243, 284, 14 i.e 1 in different methods as follows.
Given Input numbers are 243, 284, 14
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
GCD of numbers is the greatest common divisor
So, the GCD (243, 284, 14) = 1.
Given numbers are 243, 284, 14
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 284 are 2 x 2 x 71
Prime factors of 14 are 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 243, 284, 14 using LCM Formula
Given numbers are 243, 284, 14
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 284) = 69012
GCD(243, 284) = ( 243 x 284 ) / 69012
= 243 / 284
= 243
Step2:
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
= 1 / 14
= 1
So, Greatest Common Divisor of 243, 284, 14 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 243, 284, 14
Given numbers are 243, 284, 14
The greatest common divisor of numbers 243, 284, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 284, 14 is 1.
FAQs on GCD of 243, 284, 14 Calculator
1. What is the GCD of 243, 284, 14?
GCD of given numbers 243, 284, 14 is 1
2. How to calculate the greatest common divisor of 243, 284, 14?
We can find the highest common divisor of 243, 284, 14 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 243, 284, 14 i.e 1.
3. How can I use the GCD of 243, 284, 14Calculator?
Out the numbers 243, 284, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.