GCD of 393, 354, 343 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 393, 354, 343 quickly. Get the easiest ways to solve the greatest common divisor of 393, 354, 343 i.e 1 in different methods as follows.
Given Input numbers are 393, 354, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
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 (393, 354, 343) = 1.
Given numbers are 393, 354, 343
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 354 are 2 x 3 x 59
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 393, 354, 343 using LCM Formula
Given numbers are 393, 354, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 354) = 46374
GCD(393, 354) = ( 393 x 354 ) / 46374
= 393 / 354
= 393
Step2:
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
= 3 / 343
= 3
So, Greatest Common Divisor of 393, 354, 343 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 393, 354, 343
Given numbers are 393, 354, 343
The greatest common divisor of numbers 393, 354, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 354, 343 is 1.
FAQs on GCD of 393, 354, 343 Calculator
1. What is the GCD of 393, 354, 343?
GCD of given numbers 393, 354, 343 is 1
2. How to calculate the greatest common divisor of 393, 354, 343?
We can find the highest common divisor of 393, 354, 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 393, 354, 343 i.e 1.
3. How can I use the GCD of 393, 354, 343Calculator?
Out the numbers 393, 354, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.