GCD of 343, 342, 289 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 343, 342, 289 quickly. Get the easiest ways to solve the greatest common divisor of 343, 342, 289 i.e 1 in different methods as follows.
Given Input numbers are 343, 342, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (343, 342, 289) = 1.
Given numbers are 343, 342, 289
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 343, 342, 289 using LCM Formula
Given numbers are 343, 342, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 342) = 117306
GCD(343, 342) = ( 343 x 342 ) / 117306
= 343 / 342
= 343
Step2:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 343, 342, 289 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 343, 342, 289
Given numbers are 343, 342, 289
The greatest common divisor of numbers 343, 342, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 342, 289 is 1.
FAQs on GCD of 343, 342, 289 Calculator
1. What is the GCD of 343, 342, 289?
GCD of given numbers 343, 342, 289 is 1
2. How to calculate the greatest common divisor of 343, 342, 289?
We can find the highest common divisor of 343, 342, 289 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 343, 342, 289 i.e 1.
3. How can I use the GCD of 343, 342, 289Calculator?
Out the numbers 343, 342, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.