GCD of 428, 729, 75 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 428, 729, 75 quickly. Get the easiest ways to solve the greatest common divisor of 428, 729, 75 i.e 1 in different methods as follows.
Given Input numbers are 428, 729, 75
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 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
GCD of numbers is the greatest common divisor
So, the GCD (428, 729, 75) = 1.
Given numbers are 428, 729, 75
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 75 are 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 428, 729, 75 using LCM Formula
Given numbers are 428, 729, 75
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 729) = 312012
GCD(428, 729) = ( 428 x 729 ) / 312012
= 428 / 729
= 428
Step2:
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
= 1 / 75
= 1
So, Greatest Common Divisor of 428, 729, 75 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 428, 729, 75
Given numbers are 428, 729, 75
The greatest common divisor of numbers 428, 729, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 729, 75 is 1.
FAQs on GCD of 428, 729, 75 Calculator
1. What is the GCD of 428, 729, 75?
GCD of given numbers 428, 729, 75 is 1
2. How to calculate the greatest common divisor of 428, 729, 75?
We can find the highest common divisor of 428, 729, 75 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, 729, 75 i.e 1.
3. How can I use the GCD of 428, 729, 75Calculator?
Out the numbers 428, 729, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.