GCD of 120, 381, 409 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 381, 409 quickly. Get the easiest ways to solve the greatest common divisor of 120, 381, 409 i.e 1 in different methods as follows.
Given Input numbers are 120, 381, 409
In the factoring method, we have to find the divisors of all numbers
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 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
GCD of numbers is the greatest common divisor
So, the GCD (120, 381, 409) = 1.
Given numbers are 120, 381, 409
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 381 are 3 x 127
Prime factors of 409 are 409
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 120, 381, 409 using LCM Formula
Given numbers are 120, 381, 409
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 381) = 15240
GCD(120, 381) = ( 120 x 381 ) / 15240
= 120 / 381
= 120
Step2:
LCM(3, 409) = 1227
GCD(3, 409) = ( 3 x 409 ) / 1227
= 3 / 409
= 3
So, Greatest Common Divisor of 120, 381, 409 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 381, 409
Given numbers are 120, 381, 409
The greatest common divisor of numbers 120, 381, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 381, 409 is 1.
FAQs on GCD of 120, 381, 409 Calculator
1. What is the GCD of 120, 381, 409?
GCD of given numbers 120, 381, 409 is 1
2. How to calculate the greatest common divisor of 120, 381, 409?
We can find the highest common divisor of 120, 381, 409 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 120, 381, 409 i.e 1.
3. How can I use the GCD of 120, 381, 409Calculator?
Out the numbers 120, 381, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.