GCD of 428, 367, 449, 114 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 428, 367, 449, 114 quickly. Get the easiest ways to solve the greatest common divisor of 428, 367, 449, 114 i.e 1 in different methods as follows.
Given Input numbers are 428, 367, 449, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (428, 367, 449, 114) = 1.
Given numbers are 428, 367, 449, 114
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 367 are 367
Prime factors of 449 are 449
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 428, 367, 449, 114 using LCM Formula
Given numbers are 428, 367, 449, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 367) = 157076
GCD(428, 367) = ( 428 x 367 ) / 157076
= 428 / 367
= 428
Step2:
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
= 1 / 449
= 1
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 428, 367, 449, 114 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 428, 367, 449, 114
Given numbers are 428, 367, 449, 114
The greatest common divisor of numbers 428, 367, 449, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 367, 449, 114 is 1.
FAQs on GCD of 428, 367, 449, 114 Calculator
1. What is the GCD of 428, 367, 449, 114?
GCD of given numbers 428, 367, 449, 114 is 1
2. How to calculate the greatest common divisor of 428, 367, 449, 114?
We can find the highest common divisor of 428, 367, 449, 114 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 428, 367, 449, 114 i.e 1.
3. How can I use the GCD of 428, 367, 449, 114Calculator?
Out the numbers 428, 367, 449, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.