GCD of 325, 180, 990 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 325, 180, 990 quickly. Get the easiest ways to solve the greatest common divisor of 325, 180, 990 i.e 5 in different methods as follows.
Given Input numbers are 325, 180, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 (325, 180, 990) = 5.
Given numbers are 325, 180, 990
The list of prime factors of all numbers are
Prime factors of 325 are 5 x 5 x 13
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 325, 180, 990 is 5.
Steps to Calculate GCD of 325, 180, 990 using LCM Formula
Given numbers are 325, 180, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(325, 180) = 11700
GCD(325, 180) = ( 325 x 180 ) / 11700
= 325 / 180
= 325
Step2:
LCM(5, 990) = 990
GCD(5, 990) = ( 5 x 990 ) / 990
= 5 / 990
= 5
So, Greatest Common Divisor of 325, 180, 990 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 325, 180, 990
Given numbers are 325, 180, 990
The greatest common divisor of numbers 325, 180, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 180, 990 is 5.
FAQs on GCD of 325, 180, 990 Calculator
1. What is the GCD of 325, 180, 990?
GCD of given numbers 325, 180, 990 is 5
2. How to calculate the greatest common divisor of 325, 180, 990?
We can find the highest common divisor of 325, 180, 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 325, 180, 990 i.e 5.
3. How can I use the GCD of 325, 180, 990Calculator?
Out the numbers 325, 180, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.