GCD of 108, 382, 345 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 108, 382, 345 quickly. Get the easiest ways to solve the greatest common divisor of 108, 382, 345 i.e 1 in different methods as follows.
Given Input numbers are 108, 382, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (108, 382, 345) = 1.
Given numbers are 108, 382, 345
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 382 are 2 x 191
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 108, 382, 345 using LCM Formula
Given numbers are 108, 382, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 382) = 20628
GCD(108, 382) = ( 108 x 382 ) / 20628
= 108 / 382
= 108
Step2:
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
= 2 / 345
= 2
So, Greatest Common Divisor of 108, 382, 345 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 108, 382, 345
Given numbers are 108, 382, 345
The greatest common divisor of numbers 108, 382, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 382, 345 is 1.
FAQs on GCD of 108, 382, 345 Calculator
1. What is the GCD of 108, 382, 345?
GCD of given numbers 108, 382, 345 is 1
2. How to calculate the greatest common divisor of 108, 382, 345?
We can find the highest common divisor of 108, 382, 345 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 108, 382, 345 i.e 1.
3. How can I use the GCD of 108, 382, 345Calculator?
Out the numbers 108, 382, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.