GCD of 314, 120, 399 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 314, 120, 399 quickly. Get the easiest ways to solve the greatest common divisor of 314, 120, 399 i.e 1 in different methods as follows.
Given Input numbers are 314, 120, 399
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
GCD of numbers is the greatest common divisor
So, the GCD (314, 120, 399) = 1.
Given numbers are 314, 120, 399
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 399 are 3 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 314, 120, 399 using LCM Formula
Given numbers are 314, 120, 399
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 120) = 18840
GCD(314, 120) = ( 314 x 120 ) / 18840
= 314 / 120
= 314
Step2:
LCM(2, 399) = 798
GCD(2, 399) = ( 2 x 399 ) / 798
= 2 / 399
= 2
So, Greatest Common Divisor of 314, 120, 399 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 314, 120, 399
Given numbers are 314, 120, 399
The greatest common divisor of numbers 314, 120, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 120, 399 is 1.
FAQs on GCD of 314, 120, 399 Calculator
1. What is the GCD of 314, 120, 399?
GCD of given numbers 314, 120, 399 is 1
2. How to calculate the greatest common divisor of 314, 120, 399?
We can find the highest common divisor of 314, 120, 399 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 314, 120, 399 i.e 1.
3. How can I use the GCD of 314, 120, 399Calculator?
Out the numbers 314, 120, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.