GCD of 729, 832, 42 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 729, 832, 42 quickly. Get the easiest ways to solve the greatest common divisor of 729, 832, 42 i.e 1 in different methods as follows.
Given Input numbers are 729, 832, 42
In the factoring method, we have to find the divisors of all numbers
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
GCD of numbers is the greatest common divisor
So, the GCD (729, 832, 42) = 1.
Given numbers are 729, 832, 42
The list of prime factors of all numbers are
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 42 are 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 729, 832, 42 using LCM Formula
Given numbers are 729, 832, 42
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 832) = 606528
GCD(729, 832) = ( 729 x 832 ) / 606528
= 729 / 832
= 729
Step2:
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
= 1 / 42
= 1
So, Greatest Common Divisor of 729, 832, 42 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 729, 832, 42
Given numbers are 729, 832, 42
The greatest common divisor of numbers 729, 832, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 832, 42 is 1.
FAQs on GCD of 729, 832, 42 Calculator
1. What is the GCD of 729, 832, 42?
GCD of given numbers 729, 832, 42 is 1
2. How to calculate the greatest common divisor of 729, 832, 42?
We can find the highest common divisor of 729, 832, 42 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 729, 832, 42 i.e 1.
3. How can I use the GCD of 729, 832, 42Calculator?
Out the numbers 729, 832, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.