GCD of 843, 342, 516 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 843, 342, 516 quickly. Get the easiest ways to solve the greatest common divisor of 843, 342, 516 i.e 3 in different methods as follows.
Given Input numbers are 843, 342, 516
In the factoring method, we have to find the divisors of all numbers
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
GCD of numbers is the greatest common divisor
So, the GCD (843, 342, 516) = 3.
Given numbers are 843, 342, 516
The list of prime factors of all numbers are
Prime factors of 843 are 3 x 281
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 516 are 2 x 2 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 843, 342, 516 is 3.
Steps to Calculate GCD of 843, 342, 516 using LCM Formula
Given numbers are 843, 342, 516
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(843, 342) = 96102
GCD(843, 342) = ( 843 x 342 ) / 96102
= 843 / 342
= 843
Step2:
LCM(3, 516) = 516
GCD(3, 516) = ( 3 x 516 ) / 516
= 3 / 516
= 3
So, Greatest Common Divisor of 843, 342, 516 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 843, 342, 516
Given numbers are 843, 342, 516
The greatest common divisor of numbers 843, 342, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 843, 342, 516 is 3.
FAQs on GCD of 843, 342, 516 Calculator
1. What is the GCD of 843, 342, 516?
GCD of given numbers 843, 342, 516 is 3
2. How to calculate the greatest common divisor of 843, 342, 516?
We can find the highest common divisor of 843, 342, 516 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 843, 342, 516 i.e 3.
3. How can I use the GCD of 843, 342, 516Calculator?
Out the numbers 843, 342, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.