GCD of 421, 312, 391 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 421, 312, 391 quickly. Get the easiest ways to solve the greatest common divisor of 421, 312, 391 i.e 1 in different methods as follows.
Given Input numbers are 421, 312, 391
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
GCD of numbers is the greatest common divisor
So, the GCD (421, 312, 391) = 1.
Given numbers are 421, 312, 391
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 391 are 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 421, 312, 391 using LCM Formula
Given numbers are 421, 312, 391
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 312) = 131352
GCD(421, 312) = ( 421 x 312 ) / 131352
= 421 / 312
= 421
Step2:
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
= 1 / 391
= 1
So, Greatest Common Divisor of 421, 312, 391 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 421, 312, 391
Given numbers are 421, 312, 391
The greatest common divisor of numbers 421, 312, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 312, 391 is 1.
FAQs on GCD of 421, 312, 391 Calculator
1. What is the GCD of 421, 312, 391?
GCD of given numbers 421, 312, 391 is 1
2. How to calculate the greatest common divisor of 421, 312, 391?
We can find the highest common divisor of 421, 312, 391 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 421, 312, 391 i.e 1.
3. How can I use the GCD of 421, 312, 391Calculator?
Out the numbers 421, 312, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.