GCD of 320, 115, 343 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 320, 115, 343 quickly. Get the easiest ways to solve the greatest common divisor of 320, 115, 343 i.e 1 in different methods as follows.
Given Input numbers are 320, 115, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
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 (320, 115, 343) = 1.
Given numbers are 320, 115, 343
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 115 are 5 x 23
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 320, 115, 343 using LCM Formula
Given numbers are 320, 115, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 115) = 7360
GCD(320, 115) = ( 320 x 115 ) / 7360
= 320 / 115
= 320
Step2:
LCM(5, 343) = 1715
GCD(5, 343) = ( 5 x 343 ) / 1715
= 5 / 343
= 5
So, Greatest Common Divisor of 320, 115, 343 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 320, 115, 343
Given numbers are 320, 115, 343
The greatest common divisor of numbers 320, 115, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 115, 343 is 1.
FAQs on GCD of 320, 115, 343 Calculator
1. What is the GCD of 320, 115, 343?
GCD of given numbers 320, 115, 343 is 1
2. How to calculate the greatest common divisor of 320, 115, 343?
We can find the highest common divisor of 320, 115, 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 320, 115, 343 i.e 1.
3. How can I use the GCD of 320, 115, 343Calculator?
Out the numbers 320, 115, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.