GCD of 990, 180, 945 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 180, 945 quickly. Get the easiest ways to solve the greatest common divisor of 990, 180, 945 i.e 45 in different methods as follows.
Given Input numbers are 990, 180, 945
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 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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
GCD of numbers is the greatest common divisor
So, the GCD (990, 180, 945) = 45.
Given numbers are 990, 180, 945
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 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
The highest common occurrence is 32 x 51
Therefore, GCD of 990, 180, 945 is 45.
Steps to Calculate GCD of 990, 180, 945 using LCM Formula
Given numbers are 990, 180, 945
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 180) = 1980
GCD(990, 180) = ( 990 x 180 ) / 1980
= 990 / 180
= 990
Step2:
LCM(90, 945) = 1890
GCD(90, 945) = ( 90 x 945 ) / 1890
= 90 / 945
= 90
So, Greatest Common Divisor of 990, 180, 945 is 45
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 990, 180, 945
Given numbers are 990, 180, 945
The greatest common divisor of numbers 990, 180, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 180, 945 is 45.
FAQs on GCD of 990, 180, 945 Calculator
1. What is the GCD of 990, 180, 945?
GCD of given numbers 990, 180, 945 is 45
2. How to calculate the greatest common divisor of 990, 180, 945?
We can find the highest common divisor of 990, 180, 945 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, 180, 945 i.e 45.
3. How can I use the GCD of 990, 180, 945Calculator?
Out the numbers 990, 180, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.