GCD of 990, 480, 825 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 480, 825 quickly. Get the easiest ways to solve the greatest common divisor of 990, 480, 825 i.e 15 in different methods as follows.
Given Input numbers are 990, 480, 825
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 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (990, 480, 825) = 15.
Given numbers are 990, 480, 825
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 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31 x 51
Therefore, GCD of 990, 480, 825 is 15.
Steps to Calculate GCD of 990, 480, 825 using LCM Formula
Given numbers are 990, 480, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 480) = 15840
GCD(990, 480) = ( 990 x 480 ) / 15840
= 990 / 480
= 990
Step2:
LCM(30, 825) = 1650
GCD(30, 825) = ( 30 x 825 ) / 1650
= 30 / 825
= 30
So, Greatest Common Divisor of 990, 480, 825 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 990, 480, 825
Given numbers are 990, 480, 825
The greatest common divisor of numbers 990, 480, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 480, 825 is 15.
FAQs on GCD of 990, 480, 825 Calculator
1. What is the GCD of 990, 480, 825?
GCD of given numbers 990, 480, 825 is 15
2. How to calculate the greatest common divisor of 990, 480, 825?
We can find the highest common divisor of 990, 480, 825 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, 480, 825 i.e 15.
3. How can I use the GCD of 990, 480, 825Calculator?
Out the numbers 990, 480, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.