GCD of 789, 831, 46, 243 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 789, 831, 46, 243 quickly. Get the easiest ways to solve the greatest common divisor of 789, 831, 46, 243 i.e 1 in different methods as follows.
Given Input numbers are 789, 831, 46, 243
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 46 :
The positive integer divisors of 46 that completely divides 46 are.
1, 2, 23, 46
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (789, 831, 46, 243) = 1.
Given numbers are 789, 831, 46, 243
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 831 are 3 x 277
Prime factors of 46 are 2 x 23
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 789, 831, 46, 243 using LCM Formula
Given numbers are 789, 831, 46, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 831) = 218553
GCD(789, 831) = ( 789 x 831 ) / 218553
= 789 / 831
= 789
Step2:
LCM(3, 46) = 138
GCD(3, 46) = ( 3 x 46 ) / 138
= 3 / 46
= 3
Step3:
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
= 1 / 243
= 1
So, Greatest Common Divisor of 789, 831, 46, 243 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 789, 831, 46, 243
Given numbers are 789, 831, 46, 243
The greatest common divisor of numbers 789, 831, 46, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 831, 46, 243 is 1.
FAQs on GCD of 789, 831, 46, 243 Calculator
1. What is the GCD of 789, 831, 46, 243?
GCD of given numbers 789, 831, 46, 243 is 1
2. How to calculate the greatest common divisor of 789, 831, 46, 243?
We can find the highest common divisor of 789, 831, 46, 243 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 789, 831, 46, 243 i.e 1.
3. How can I use the GCD of 789, 831, 46, 243Calculator?
Out the numbers 789, 831, 46, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.