GCD of 367, 105, 391 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 367, 105, 391 quickly. Get the easiest ways to solve the greatest common divisor of 367, 105, 391 i.e 1 in different methods as follows.
Given Input numbers are 367, 105, 391
In the factoring method, we have to find the divisors of all numbers
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
GCD of numbers is the greatest common divisor
So, the GCD (367, 105, 391) = 1.
Given numbers are 367, 105, 391
The list of prime factors of all numbers are
Prime factors of 367 are 367
Prime factors of 105 are 3 x 5 x 7
Prime factors of 391 are 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 367, 105, 391 using LCM Formula
Given numbers are 367, 105, 391
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(367, 105) = 38535
GCD(367, 105) = ( 367 x 105 ) / 38535
= 367 / 105
= 367
Step2:
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
= 1 / 391
= 1
So, Greatest Common Divisor of 367, 105, 391 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 367, 105, 391
Given numbers are 367, 105, 391
The greatest common divisor of numbers 367, 105, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 367, 105, 391 is 1.
FAQs on GCD of 367, 105, 391 Calculator
1. What is the GCD of 367, 105, 391?
GCD of given numbers 367, 105, 391 is 1
2. How to calculate the greatest common divisor of 367, 105, 391?
We can find the highest common divisor of 367, 105, 391 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 367, 105, 391 i.e 1.
3. How can I use the GCD of 367, 105, 391Calculator?
Out the numbers 367, 105, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.