GCD of 398, 378, 109 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 398, 378, 109 quickly. Get the easiest ways to solve the greatest common divisor of 398, 378, 109 i.e 1 in different methods as follows.
Given Input numbers are 398, 378, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (398, 378, 109) = 1.
Given numbers are 398, 378, 109
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 398, 378, 109 using LCM Formula
Given numbers are 398, 378, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 378) = 75222
GCD(398, 378) = ( 398 x 378 ) / 75222
= 398 / 378
= 398
Step2:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
So, Greatest Common Divisor of 398, 378, 109 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 398, 378, 109
Given numbers are 398, 378, 109
The greatest common divisor of numbers 398, 378, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 378, 109 is 1.
FAQs on GCD of 398, 378, 109 Calculator
1. What is the GCD of 398, 378, 109?
GCD of given numbers 398, 378, 109 is 1
2. How to calculate the greatest common divisor of 398, 378, 109?
We can find the highest common divisor of 398, 378, 109 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 398, 378, 109 i.e 1.
3. How can I use the GCD of 398, 378, 109Calculator?
Out the numbers 398, 378, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.