GCD of 990, 894, 96 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 894, 96 quickly. Get the easiest ways to solve the greatest common divisor of 990, 894, 96 i.e 6 in different methods as follows.
Given Input numbers are 990, 894, 96
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD of numbers is the greatest common divisor
So, the GCD (990, 894, 96) = 6.
Given numbers are 990, 894, 96
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 894 are 2 x 3 x 149
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 990, 894, 96 is 6.
Steps to Calculate GCD of 990, 894, 96 using LCM Formula
Given numbers are 990, 894, 96
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 894) = 147510
GCD(990, 894) = ( 990 x 894 ) / 147510
= 990 / 894
= 990
Step2:
LCM(6, 96) = 96
GCD(6, 96) = ( 6 x 96 ) / 96
= 6 / 96
= 6
So, Greatest Common Divisor of 990, 894, 96 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 990, 894, 96
Given numbers are 990, 894, 96
The greatest common divisor of numbers 990, 894, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 894, 96 is 6.
FAQs on GCD of 990, 894, 96 Calculator
1. What is the GCD of 990, 894, 96?
GCD of given numbers 990, 894, 96 is 6
2. How to calculate the greatest common divisor of 990, 894, 96?
We can find the highest common divisor of 990, 894, 96 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, 894, 96 i.e 6.
3. How can I use the GCD of 990, 894, 96Calculator?
Out the numbers 990, 894, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.