GCD of 105, 843, 990 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 843, 990 quickly. Get the easiest ways to solve the greatest common divisor of 105, 843, 990 i.e 3 in different methods as follows.
Given Input numbers are 105, 843, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (105, 843, 990) = 3.
Given numbers are 105, 843, 990
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 843 are 3 x 281
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 105, 843, 990 is 3.
Steps to Calculate GCD of 105, 843, 990 using LCM Formula
Given numbers are 105, 843, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 843) = 29505
GCD(105, 843) = ( 105 x 843 ) / 29505
= 105 / 843
= 105
Step2:
LCM(3, 990) = 990
GCD(3, 990) = ( 3 x 990 ) / 990
= 3 / 990
= 3
So, Greatest Common Divisor of 105, 843, 990 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 843, 990
Given numbers are 105, 843, 990
The greatest common divisor of numbers 105, 843, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 843, 990 is 3.
FAQs on GCD of 105, 843, 990 Calculator
1. What is the GCD of 105, 843, 990?
GCD of given numbers 105, 843, 990 is 3
2. How to calculate the greatest common divisor of 105, 843, 990?
We can find the highest common divisor of 105, 843, 990 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 105, 843, 990 i.e 3.
3. How can I use the GCD of 105, 843, 990Calculator?
Out the numbers 105, 843, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.