GCD of 918, 360, 990 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 918, 360, 990 quickly. Get the easiest ways to solve the greatest common divisor of 918, 360, 990 i.e 18 in different methods as follows.
Given Input numbers are 918, 360, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 (918, 360, 990) = 18.
Given numbers are 918, 360, 990
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 360 are 2 x 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 21 x 32
Therefore, GCD of 918, 360, 990 is 18.
Steps to Calculate GCD of 918, 360, 990 using LCM Formula
Given numbers are 918, 360, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 360) = 18360
GCD(918, 360) = ( 918 x 360 ) / 18360
= 918 / 360
= 918
Step2:
LCM(18, 990) = 990
GCD(18, 990) = ( 18 x 990 ) / 990
= 18 / 990
= 18
So, Greatest Common Divisor of 918, 360, 990 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 918, 360, 990
Given numbers are 918, 360, 990
The greatest common divisor of numbers 918, 360, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 360, 990 is 18.
FAQs on GCD of 918, 360, 990 Calculator
1. What is the GCD of 918, 360, 990?
GCD of given numbers 918, 360, 990 is 18
2. How to calculate the greatest common divisor of 918, 360, 990?
We can find the highest common divisor of 918, 360, 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 918, 360, 990 i.e 18.
3. How can I use the GCD of 918, 360, 990Calculator?
Out the numbers 918, 360, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.