GCD of 990, 312, 486 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 312, 486 quickly. Get the easiest ways to solve the greatest common divisor of 990, 312, 486 i.e 6 in different methods as follows.
Given Input numbers are 990, 312, 486
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
GCD of numbers is the greatest common divisor
So, the GCD (990, 312, 486) = 6.
Given numbers are 990, 312, 486
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 990, 312, 486 is 6.
Steps to Calculate GCD of 990, 312, 486 using LCM Formula
Given numbers are 990, 312, 486
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 312) = 51480
GCD(990, 312) = ( 990 x 312 ) / 51480
= 990 / 312
= 990
Step2:
LCM(6, 486) = 486
GCD(6, 486) = ( 6 x 486 ) / 486
= 6 / 486
= 6
So, Greatest Common Divisor of 990, 312, 486 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 990, 312, 486
Given numbers are 990, 312, 486
The greatest common divisor of numbers 990, 312, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 312, 486 is 6.
FAQs on GCD of 990, 312, 486 Calculator
1. What is the GCD of 990, 312, 486?
GCD of given numbers 990, 312, 486 is 6
2. How to calculate the greatest common divisor of 990, 312, 486?
We can find the highest common divisor of 990, 312, 486 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 990, 312, 486 i.e 6.
3. How can I use the GCD of 990, 312, 486Calculator?
Out the numbers 990, 312, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.