GCD of 398, 331, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 398, 331, 420 quickly. Get the easiest ways to solve the greatest common divisor of 398, 331, 420 i.e 1 in different methods as follows.
Given Input numbers are 398, 331, 420
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 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (398, 331, 420) = 1.
Given numbers are 398, 331, 420
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 331 are 331
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 398, 331, 420 using LCM Formula
Given numbers are 398, 331, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 331) = 131738
GCD(398, 331) = ( 398 x 331 ) / 131738
= 398 / 331
= 398
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 398, 331, 420 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 398, 331, 420
Given numbers are 398, 331, 420
The greatest common divisor of numbers 398, 331, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 331, 420 is 1.
FAQs on GCD of 398, 331, 420 Calculator
1. What is the GCD of 398, 331, 420?
GCD of given numbers 398, 331, 420 is 1
2. How to calculate the greatest common divisor of 398, 331, 420?
We can find the highest common divisor of 398, 331, 420 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, 331, 420 i.e 1.
3. How can I use the GCD of 398, 331, 420Calculator?
Out the numbers 398, 331, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.